332548868532096 has 512 divisors, whose sum is σ = 1019386387584000. Its totient is φ = 108005866020864.

The previous prime is 332548868532047. The next prime is 332548868532227. The reversal of 332548868532096 is 690235868845233.

It is a happy number.

332548868532096 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 4 + 8 + 86 + 8 + 532 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×332548868532096² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1866244221 + ... + 1866422403.

It is an arithmetic number, because the mean of its divisors is an integer number (1990989038250).

Almost surely, 2^{332548868532096} is an apocalyptic number.

332548868532096 is a gapful number since it is divisible by the number (36) 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 332548868532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509693193792000).

332548868532096 is an abundant number, since it is smaller than the sum of its proper divisors (686837519051904).

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

332548868532096 is an equidigital number, since it uses as much as digits as its factorization.

332548868532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178390 (or 178360 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 332548868532096 in words is "three hundred thirty-two trillion, five hundred forty-eight billion, eight hundred sixty-eight million, five hundred thirty-two thousand, ninety-six".