332353031305056 has 48 divisors (see below), whose sum is σ = 910358303145984. Its totient is φ = 105967633169024.

The previous prime is 332353031305021. The next prime is 332353031305111. The reversal of 332353031305056 is 650503130353233.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×332353031305056² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 332353031304999 and 332353031305017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75261100896 + ... + 75261105311.

It is an arithmetic number, because the mean of its divisors is an integer number (18965797982208).

Almost surely, 2^{332353031305056} is an apocalyptic number.

It is an amenable number.

332353031305056 is an abundant number, since it is smaller than the sum of its proper divisors (578005271840928).

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

332353031305056 is a wasteful number, since it uses less digits than its factorization.

332353031305056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150522206243 (or 150522206235 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 42.

Adding to 332353031305056 its reverse (650503130353233), we get a palindrome (982856161658289).

The spelling of 332353031305056 in words is "three hundred thirty-two trillion, three hundred fifty-three billion, thirty-one million, three hundred five thousand, fifty-six".