225981543762 has 210 divisors, whose sum is σ = 582729780963. Its totient is φ = 65442619008.

The previous prime is 225981543751. The next prime is 225981543773. The reversal of 225981543762 is 267345189522.

225981543762 is a `hidden beast` number, since 2 + 2 + 5 + 98 + 1 + 543 + 7 + 6 + 2 = 666.

225981543762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225981543751) and next prime (225981543773).

It can be written as a sum of positive squares in 11 ways, for example, as 224116081281 + 1865462481 = 473409^2 + 43191^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336141.

It is a super-2 number, since 2×225981543762² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7257600) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 225981543699 and 225981543708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 13293031978 + ... + 13293031994.

Almost surely, 2^225981543762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225981543762

225981543762 is an abundant number, since it is smaller than the sum of its proper divisors (356748237201).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225981543762 is an frugal number, since it uses more digits than its factorization.

225981543762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 35 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 225981543762 in words is "two hundred twenty-five billion, nine hundred eighty-one million, five hundred forty-three thousand, seven hundred sixty-two".