358894630505664 has 896 divisors, whose sum is σ = 1205689157222400. Its totient is φ = 103694266368000.

The previous prime is 358894630505657. The next prime is 358894630505701. The reversal of 358894630505664 is 466505036498853.

358894630505664 is a `hidden beast` number, since 3 + 5 + 8 + 8 + 9 + 4 + 6 + 3 + 0 + 50 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 358894630505592 and 358894630505601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113251696272 + ... + 113251699440.

Almost surely, 2^{358894630505664} 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 358894630505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602844578611200).

358894630505664 is an abundant number, since it is smaller than the sum of its proper divisors (846794526716736).

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

358894630505664 is a wasteful number, since it uses less digits than its factorization.

358894630505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 2239488000, while the sum is 72.

The spelling of 358894630505664 in words is "three hundred fifty-eight trillion, eight hundred ninety-four billion, six hundred thirty million, five hundred five thousand, six hundred sixty-four".