45623625660 has 144 divisors (see below), whose sum is σ = 143079955200. Its totient is φ = 11755376640.

The previous prime is 45623625589. The next prime is 45623625661. The reversal of 45623625660 is 6652632654.

45623625660 is a `hidden beast` number, since 4 + 5 + 6 + 23 + 62 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45623625661) 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, 3749266 + ... + 3761414.

It is an arithmetic number, because the mean of its divisors is an integer number (993610800).

Almost surely, 2^45623625660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45623625660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539977600).

45623625660 is an abundant number, since it is smaller than the sum of its proper divisors (97456329540).

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

45623625660 is a wasteful number, since it uses less digits than its factorization.

45623625660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 12863 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 45623625660 in words is "forty-five billion, six hundred twenty-three million, six hundred twenty-five thousand, six hundred sixty".