10145606160456 has 128 divisors (see below), whose sum is σ = 30353593670400. Its totient is φ = 3121366026240.

The previous prime is 10145606160433. The next prime is 10145606160461. The reversal of 10145606160456 is 65406160654101.

10145606160456 is a `hidden beast` number, since 10 + 14 + 5 + 6 + 0 + 616 + 0 + 4 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24751416 + ... + 25157976.

It is an arithmetic number, because the mean of its divisors is an integer number (237137450550).

Almost surely, 2^{10145606160456} is an apocalyptic number.

It is an amenable number.

10145606160456 is an abundant number, since it is smaller than the sum of its proper divisors (20207987509944).

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

10145606160456 is a wasteful number, since it uses less digits than its factorization.

10145606160456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415476 (or 415466 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10145606160456 in words is "ten trillion, one hundred forty-five billion, six hundred six million, one hundred sixty thousand, four hundred fifty-six".