45790617609 has 48 divisors (see below), whose sum is σ = 73778964480. Its totient is φ = 27134097120.

The previous prime is 45790617599. The next prime is 45790617611. The reversal of 45790617609 is 90671609754.

45790617609 is a `hidden beast` number, since 4 + 579 + 0 + 6 + 1 + 7 + 60 + 9 = 666.

It is not a de Polignac number, because 45790617609 - 2²³ = 45782229001 is a prime.

It is a super-2 number, since 2×45790617609² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45790617659) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777142 + ... + 833984.

It is an arithmetic number, because the mean of its divisors is an integer number (1537061760).

Almost surely, 2^45790617609 is an apocalyptic number.

It is an amenable number.

45790617609 is a deficient number, since it is larger than the sum of its proper divisors (27988346871).

45790617609 is a wasteful number, since it uses less digits than its factorization.

45790617609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57042 (or 57039 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 45790617609 in words is "forty-five billion, seven hundred ninety million, six hundred seventeen thousand, six hundred nine".