352408742397504 has 280 divisors, whose sum is σ = 1128625052563008. Its totient is φ = 108084792130560.

The previous prime is 352408742397463. The next prime is 352408742397553. The reversal of 352408742397504 is 405793247804253.

It is a happy number.

352408742397504 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 0 + 87 + 42 + 3 + 9 + 7 + 504 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12551779 + ... + 29366045.

Almost surely, 2^{352408742397504} 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 352408742397504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564312526281504).

352408742397504 is an abundant number, since it is smaller than the sum of its proper divisors (776216310165504).

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

352408742397504 is a wasteful number, since it uses less digits than its factorization.

352408742397504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814615 (or 16814596 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 352408742397504 in words is "three hundred fifty-two trillion, four hundred eight billion, seven hundred forty-two million, three hundred ninety-seven thousand, five hundred four".