2107746468864 has 275 divisors, whose sum is σ = 6384059357335. Its totient is φ = 692686632960.

The previous prime is 2107746468857. The next prime is 2107746468881. The reversal of 2107746468864 is 4688646477012.

The square root of 2107746468864 is 1451808.

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

2107746468864 is a `hidden beast` number, since 2 + 1 + 0 + 77 + 46 + 468 + 8 + 64 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=852.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 29686569949 + ... + 29686570019.

Almost surely, 2^{2107746468864} is an apocalyptic number.

2107746468864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2107746468864 is the 1451808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107746468864

2107746468864 is an abundant number, since it is smaller than the sum of its proper divisors (4276312888471).

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

2107746468864 is an frugal number, since it uses more digits than its factorization.

2107746468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 2107746468864 in words is "two trillion, one hundred seven billion, seven hundred forty-six million, four hundred sixty-eight thousand, eight hundred sixty-four".