228596824240032 has 96 divisors (see below), whose sum is σ = 604822680870912. Its totient is φ = 75595064396544.

The previous prime is 228596824239977. The next prime is 228596824240069. The reversal of 228596824240032 is 230042428695822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×228596824240032² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241746583 + ... + 242690345.

It is an arithmetic number, because the mean of its divisors is an integer number (6300236259072).

Almost surely, 2^{228596824240032} 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 228596824240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302411340435456).

228596824240032 is an abundant number, since it is smaller than the sum of its proper divisors (376225856630880).

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

228596824240032 is a wasteful number, since it uses less digits than its factorization.

228596824240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963770 (or 963762 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 228596824240032 in words is "two hundred twenty-eight trillion, five hundred ninety-six billion, eight hundred twenty-four million, two hundred forty thousand, thirty-two".