45692910081 has 243 divisors, whose sum is σ = 89409431241. Its totient is φ = 23270659776.

The previous prime is 45692910079. The next prime is 45692910083. The reversal of 45692910081 is 18001929654.

The square root of 45692910081 is 213759.

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

45692910081 is a `hidden beast` number, since 4 + 569 + 2 + 9 + 1 + 0 + 0 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (45692910079) and next prime (45692910083).

It can be written as a sum of positive squares in 4 ways, for example, as 5859137025 + 39833773056 = 76545^2 + 199584^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 45692910081 - 2¹ = 45692910079 is a prime.

It is a super-2 number, since 2×45692910081² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45692910083) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1575617575 + ... + 1575617603.

Almost surely, 2^45692910081 is an apocalyptic number.

45692910081 is the 213759-th square number.

45692910081 is the 106880-th centered octagonal number.

It is an amenable number.

45692910081 is a deficient number, since it is larger than the sum of its proper divisors (43716521160).

45692910081 is an frugal number, since it uses more digits than its factorization.

45692910081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 45692910081 in words is "forty-five billion, six hundred ninety-two million, nine hundred ten thousand, eighty-one".