332133762355860 has 768 divisors, whose sum is σ = 1075898735493120. Its totient is φ = 76111298887680.

The previous prime is 332133762355793. The next prime is 332133762355873. The reversal of 332133762355860 is 68553267331233.

It is a super-2 number, since 2×332133762355860² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332133762355860.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 6992707632 + ... + 6992755128.

It is an arithmetic number, because the mean of its divisors is an integer number (1400909811840).

Almost surely, 2^{332133762355860} is an apocalyptic number.

332133762355860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332133762355860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537949367746560).

332133762355860 is an abundant number, since it is smaller than the sum of its proper divisors (743764973137260).

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

332133762355860 is a wasteful number, since it uses less digits than its factorization.

332133762355860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47776 (or 47774 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 57.

The spelling of 332133762355860 in words is "three hundred thirty-two trillion, one hundred thirty-three billion, seven hundred sixty-two million, three hundred fifty-five thousand, eight hundred sixty".