45365688900 has 576 divisors, whose sum is σ = 177163660800. Its totient is φ = 9736796160.

The previous prime is 45365688883. The next prime is 45365688913. The reversal of 45365688900 is 988656354.

It is a happy number.

45365688900 is a `hidden beast` number, since 45 + 36 + 568 + 8 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20278582 + ... + 20280818.

It is an arithmetic number, because the mean of its divisors is an integer number (307575800).

Almost surely, 2^45365688900 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 45365688900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88581830400).

45365688900 is an abundant number, since it is smaller than the sum of its proper divisors (131797971900).

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

45365688900 is a wasteful number, since it uses less digits than its factorization.

45365688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45365688900 in words is "forty-five billion, three hundred sixty-five million, six hundred eighty-eight thousand, nine hundred".