358523601408 has 960 divisors, whose sum is σ = 1318295088000. Its totient is φ = 95647039488.

The previous prime is 358523601391. The next prime is 358523601437. The reversal of 358523601408 is 804106325853.

358523601408 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 236 + 0 + 1 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145442660 + ... + 1145442972.

It is an arithmetic number, because the mean of its divisors is an integer number (1373224050).

Almost surely, 2^358523601408 is an apocalyptic number.

358523601408 is a gapful number since it is divisible by the number (38) 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 358523601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659147544000).

358523601408 is an abundant number, since it is smaller than the sum of its proper divisors (959771486592).

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

358523601408 is a wasteful number, since it uses less digits than its factorization.

358523601408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 358523601408 in words is "three hundred fifty-eight billion, five hundred twenty-three million, six hundred one thousand, four hundred eight".