356638464001 has 24 divisors (see below), whose sum is σ = 374928520824. Its totient is φ = 339184742400.

The previous prime is 356638463989. The next prime is 356638464029. The reversal of 356638464001 is 100464836653.

It can be written as a sum of positive squares in 12 ways, for example, as 5373623025 + 351264840976 = 73305^2 + 592676^2 .

It is a de Polignac number, because none of the positive numbers 2^k-356638464001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (356638434001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16722721 + ... + 16744033.

It is an arithmetic number, because the mean of its divisors is an integer number (15622021701).

Almost surely, 2^356638464001 is an apocalyptic number.

It is an amenable number.

356638464001 is a deficient number, since it is larger than the sum of its proper divisors (18290056823).

356638464001 is a wasteful number, since it uses less digits than its factorization.

356638464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21669 (or 21640 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 356638464001 in words is "three hundred fifty-six billion, six hundred thirty-eight million, four hundred sixty-four thousand, one".