2564162395641 has 36 divisors (see below), whose sum is σ = 4700171524464. Its totient is φ = 1332032410800.

The previous prime is 2564162395609. The next prime is 2564162395709. The reversal of 2564162395641 is 1465932614652.

2564162395641 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 1 + 623 + 9 + 5 + 6 + 4 + 1 = 666.

It is not a de Polignac number, because 2564162395641 - 2⁵ = 2564162395609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2564162390641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264287295 + ... + 264296996.

It is an arithmetic number, because the mean of its divisors is an integer number (130560320124).

Almost surely, 2^{2564162395641} is an apocalyptic number.

2564162395641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2564162395641 is a deficient number, since it is larger than the sum of its proper divisors (2136009128823).

2564162395641 is a wasteful number, since it uses less digits than its factorization.

2564162395641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528584322 (or 528584312 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 2564162395641 in words is "two trillion, five hundred sixty-four billion, one hundred sixty-two million, three hundred ninety-five thousand, six hundred forty-one".