352033680048960 has 896 divisors, whose sum is σ = 1407815506944000. Its totient is φ = 72557141852160.

The previous prime is 352033680048929. The next prime is 352033680049003. The reversal of 352033680048960 is 69840086330253.

It is a self number, because there is not a number n which added to its sum of digits gives 352033680048960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 675818691 + ... + 676339389.

It is an arithmetic number, because the mean of its divisors is an integer number (1571222664000).

Almost surely, 2^{352033680048960} is an apocalyptic number.

352033680048960 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 352033680048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703907753472000).

352033680048960 is an abundant number, since it is smaller than the sum of its proper divisors (1055781826895040).

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

352033680048960 is a wasteful number, since it uses less digits than its factorization.

352033680048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520919 (or 520909 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 352033680048960 in words is "three hundred fifty-two trillion, thirty-three billion, six hundred eighty million, forty-eight thousand, nine hundred sixty".