225134436035736 has 128 divisors (see below), whose sum is σ = 631608023692800. Its totient is φ = 74296761840000.

The previous prime is 225134436035713. The next prime is 225134436035737. The reversal of 225134436035736 is 637530634431522.

225134436035736 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 4 + 4 + 3 + 60 + 3 + 573 + 6 = 666.

It is a super-2 number, since 2×225134436035736² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225134436035737) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 328883341 + ... + 329567171.

It is an arithmetic number, because the mean of its divisors is an integer number (4934437685100).

Almost surely, 2^{225134436035736} 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 225134436035736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315804011846400).

225134436035736 is an abundant number, since it is smaller than the sum of its proper divisors (406473587657064).

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

225134436035736 is a wasteful number, since it uses less digits than its factorization.

225134436035736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699038 (or 699028 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 54.

The spelling of 225134436035736 in words is "two hundred twenty-five trillion, one hundred thirty-four billion, four hundred thirty-six million, thirty-five thousand, seven hundred thirty-six".