3860153806464 has 96 divisors (see below), whose sum is σ = 11317579661700. Its totient is φ = 1262440218624.

The previous prime is 3860153806451. The next prime is 3860153806501. The reversal of 3860153806464 is 4646083510683.

3860153806464 is a `hidden beast` number, since 3 + 8 + 60 + 1 + 538 + 0 + 6 + 46 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3684096360000 + 176057446464 = 1919400^2 + 419592^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3860153806464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31550529 + ... + 31672640.

Almost surely, 2^{3860153806464} is an apocalyptic number.

It is an amenable number.

3860153806464 is an abundant number, since it is smaller than the sum of its proper divisors (7457425855236).

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

3860153806464 is a wasteful number, since it uses less digits than its factorization.

3860153806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63223242 (or 63223227 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3860153806464 in words is "three trillion, eight hundred sixty billion, one hundred fifty-three million, eight hundred six thousand, four hundred sixty-four".