355850457790464 has 3072 divisors, whose sum is σ = 1460157124608000. Its totient is φ = 82950157762560.

The previous prime is 355850457790453. The next prime is 355850457790481. The reversal of 355850457790464 is 464097754058553.

355850457790464 is a `hidden beast` number, since 3 + 5 + 5 + 8 + 5 + 0 + 4 + 5 + 77 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 = 355850457790392 and 355850457790401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90157195339 + ... + 90157199285.

It is an arithmetic number, because the mean of its divisors is an integer number (475311564000).

Almost surely, 2^{355850457790464} 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 355850457790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730078562304000).

355850457790464 is an abundant number, since it is smaller than the sum of its proper divisors (1104306666817536).

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

355850457790464 is a wasteful number, since it uses less digits than its factorization.

355850457790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 2540160000, while the sum is 72.

The spelling of 355850457790464 in words is "three hundred fifty-five trillion, eight hundred fifty billion, four hundred fifty-seven million, seven hundred ninety thousand, four hundred sixty-four".