46117133001 has 45 divisors (see below), whose sum is σ = 69854125341. Its totient is φ = 30320840808.

The previous prime is 46117132987. The next prime is 46117133009. The reversal of 46117133001 is 10033171164.

The square root of 46117133001 is 214749.

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

46117133001 is a `hidden beast` number, since 4 + 611 + 7 + 13 + 30 + 0 + 1 = 666.

It is not a de Polignac number, because 46117133001 - 2²³ = 46108744393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (46117133009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 206803176 + ... + 206803398.

Almost surely, 2^46117133001 is an apocalyptic number.

46117133001 is the 214749-th square number.

46117133001 is the 107375-th centered octagonal number.

It is an amenable number.

46117133001 is a deficient number, since it is larger than the sum of its proper divisors (23736992340).

46117133001 is an frugal number, since it uses more digits than its factorization.

46117133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 46117133001 in words is "forty-six billion, one hundred seventeen million, one hundred thirty-three thousand, one".