225774751536 has 240 divisors, whose sum is σ = 649308441600. Its totient is φ = 73211493888.

The previous prime is 225774751493. The next prime is 225774751571. The reversal of 225774751536 is 635157477522.

225774751536 is a `hidden beast` number, since 2 + 2 + 57 + 7 + 4 + 7 + 51 + 536 = 666.

It is a super-2 number, since 2×225774751536² (a number of 24 digits) contains 22 as substring.

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

Its product of digits (12348000) is a multiple of the sum of its prime factors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509649331 + ... + 509649773.

It is an arithmetic number, because the mean of its divisors is an integer number (2705451840).

Almost surely, 2^225774751536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225774751536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324654220800).

225774751536 is an abundant number, since it is smaller than the sum of its proper divisors (423533690064).

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

225774751536 is a wasteful number, since it uses less digits than its factorization.

225774751536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 54.

The spelling of 225774751536 in words is "two hundred twenty-five billion, seven hundred seventy-four million, seven hundred fifty-one thousand, five hundred thirty-six".