2159700646464 has 105 divisors (see below), whose sum is σ = 6402342960211. Its totient is φ = 719864945280.

The previous prime is 2159700646457. The next prime is 2159700646489. The reversal of 2159700646464 is 4646460079512.

The square root of 2159700646464 is 1469592.

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

2159700646464 is a `hidden beast` number, since 2 + 1 + 59 + 70 + 0 + 6 + 464 + 64 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2159700646464.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 105800419 + ... + 105820829.

Almost surely, 2^{2159700646464} is an apocalyptic number.

2159700646464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2159700646464 is the 1469592-nd square number.

It is an amenable number.

2159700646464 is an abundant number, since it is smaller than the sum of its proper divisors (4242642313747).

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

2159700646464 is an frugal number, since it uses more digits than its factorization.

2159700646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40846 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2159700646464 in words is "two trillion, one hundred fifty-nine billion, seven hundred million, six hundred forty-six thousand, four hundred sixty-four".