13437048572964 has 81 divisors (see below), whose sum is σ = 35179167127377. Its totient is φ = 4324362079968.

The previous prime is 13437048572911. The next prime is 13437048572989. The reversal of 13437048572964 is 46927584073431.

The square root of 13437048572964 is 3665658.

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

13437048572964 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 70 + 485 + 7 + 29 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7046062331364 + 6390986241600 = 2654442^2 + 2528040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 637813959 + ... + 637835025.

It is a 1-persistent number, because it is pandigital, but 2⋅13437048572964 = 26874097145928 is not.

Almost surely, 2^{13437048572964} is an apocalyptic number.

13437048572964 is the 3665658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13437048572964

13437048572964 is an abundant number, since it is smaller than the sum of its proper divisors (21742118554413).

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

13437048572964 is an frugal number, since it uses more digits than its factorization.

13437048572964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42202 (or 21101 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 13437048572964 in words is "thirteen trillion, four hundred thirty-seven billion, forty-eight million, five hundred seventy-two thousand, nine hundred sixty-four".