10145645577 has 32 divisors (see below), whose sum is σ = 15922373760. Its totient is φ = 6362841600.

The previous prime is 10145645561. The next prime is 10145645579. The reversal of 10145645577 is 77554654101.

10145645577 is a `hidden beast` number, since 1 + 0 + 14 + 5 + 64 + 5 + 577 = 666.

It is not a de Polignac number, because 10145645577 - 2⁴ = 10145645561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10145645579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304733 + ... + 1312485.

It is an arithmetic number, because the mean of its divisors is an integer number (497574180).

Almost surely, 2^10145645577 is an apocalyptic number.

10145645577 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10145645577 is a deficient number, since it is larger than the sum of its proper divisors (5776728183).

10145645577 is a wasteful number, since it uses less digits than its factorization.

10145645577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 10145645577 in words is "ten billion, one hundred forty-five million, six hundred forty-five thousand, five hundred seventy-seven".