358391609856 has 560 divisors, whose sum is σ = 1234425456000. Its totient is φ = 101780250624.

The previous prime is 358391609839. The next prime is 358391609867. The reversal of 358391609856 is 658906193853.

358391609856 is a `hidden beast` number, since 3 + 58 + 391 + 60 + 98 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 358391609793 and 358391609802.

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 55 ways as a sum of consecutive naturals, for example, 598316245 + ... + 598316843.

Almost surely, 2^358391609856 is an apocalyptic number.

358391609856 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 358391609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617212728000).

358391609856 is an abundant number, since it is smaller than the sum of its proper divisors (876033846144).

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

358391609856 is an frugal number, since it uses more digits than its factorization.

358391609856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 358391609856 in words is "three hundred fifty-eight billion, three hundred ninety-one million, six hundred nine thousand, eight hundred fifty-six".