331991890013953 has 12 divisors (see below), whose sum is σ = 359646699116988. Its totient is φ = 306324033263040.

The previous prime is 331991890013909. The next prime is 331991890013977. The reversal of 331991890013953 is 359310098199133.

It can be written as a sum of positive squares in 6 ways, for example, as 105840310288384 + 226151579725569 = 10287872^2 + 15038337^2 .

It is a de Polignac number, because none of the positive numbers 2^k-331991890013953 is a prime.

It is a super-2 number, since 2×331991890013953² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331991890013653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416328238 + ... + 417124903.

It is an arithmetic number, because the mean of its divisors is an integer number (29970558259749).

Almost surely, 2^{331991890013953} is an apocalyptic number.

It is an amenable number.

331991890013953 is a deficient number, since it is larger than the sum of its proper divisors (27654809103035).

331991890013953 is a wasteful number, since it uses less digits than its factorization.

331991890013953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833455524 (or 833455511 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 64.

The spelling of 331991890013953 in words is "three hundred thirty-one trillion, nine hundred ninety-one billion, eight hundred ninety million, thirteen thousand, nine hundred fifty-three".