45037977600 has 1224 divisors, whose sum is σ = 200104522848. Its totient is φ = 8808038400.

The previous prime is 45037977557. The next prime is 45037977661. The reversal of 45037977600 is 677973054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45037977600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2649292792 + ... + 2649292808.

Almost surely, 2^45037977600 is an apocalyptic number.

45037977600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45037977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100052261424).

45037977600 is an abundant number, since it is smaller than the sum of its proper divisors (155066545248).

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

45037977600 is a wasteful number, since it uses less digits than its factorization.

45037977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 45037977600 in words is "forty-five billion, thirty-seven million, nine hundred seventy-seven thousand, six hundred".