332208715104 has 576 divisors, whose sum is σ = 1165836672000. Its totient is φ = 89446146048.

The previous prime is 332208715079. The next prime is 332208715127. The reversal of 332208715104 is 401517802233.

332208715104 is a `hidden beast` number, since 332 + 208 + 7 + 15 + 104 = 666.

It is a super-2 number, since 2×332208715104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 493623312 + ... + 493623984.

It is an arithmetic number, because the mean of its divisors is an integer number (2024022000).

Almost surely, 2^332208715104 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 332208715104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582918336000).

332208715104 is an abundant number, since it is smaller than the sum of its proper divisors (833627956896).

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

332208715104 is a wasteful number, since it uses less digits than its factorization.

332208715104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 332208715104 in words is "three hundred thirty-two billion, two hundred eight million, seven hundred fifteen thousand, one hundred four".