64856671716496 has 135 divisors (see below), whose sum is σ = 139554473178393. Its totient is φ = 29177659906560.

The previous prime is 64856671716493. The next prime is 64856671716497. The reversal of 64856671716496 is 69461717665846.

The square root of 64856671716496 is 8053364.

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

It can be written as a sum of positive squares in only one way, i.e., 32867059680400 + 31989612036096 = 5732980^2 + 5655936^2 .

It is a super-2 number, since 2×64856671716496² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64856671716493) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36497844760 + ... + 36497846536.

Almost surely, 2^{64856671716496} is an apocalyptic number.

64856671716496 is the 8053364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64856671716496

64856671716496 is an abundant number, since it is smaller than the sum of its proper divisors (74697801461897).

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

64856671716496 is an equidigital number, since it uses as much as digits as its factorization.

64856671716496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 1893 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 76.

The spelling of 64856671716496 in words is "sixty-four trillion, eight hundred fifty-six billion, six hundred seventy-one million, seven hundred sixteen thousand, four hundred ninety-six".