13431550648464 has 675 divisors, whose sum is σ = 43374039415707. Its totient is φ = 4010875315200.

The previous prime is 13431550648409. The next prime is 13431550648543. The reversal of 13431550648464 is 46484605513431.

The square root of 13431550648464 is 3664908.

It is a perfect power (a square), and thus also a powerful number.

13431550648464 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 550 + 6 + 4 + 84 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8946439923600 + 4485110724864 = 2991060^2 + 2117808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13431550648464.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 70322254609 + ... + 70322254799.

Almost surely, 2^{13431550648464} is an apocalyptic number.

13431550648464 is the 3664908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431550648464

13431550648464 is an abundant number, since it is smaller than the sum of its proper divisors (29942488767243).

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

13431550648464 is an equidigital number, since it uses as much as digits as its factorization.

13431550648464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 13431550648464 in words is "thirteen trillion, four hundred thirty-one billion, five hundred fifty million, six hundred forty-eight thousand, four hundred sixty-four".