45501730560 has 1512 divisors, whose sum is σ = 199674206592. Its totient is φ = 9853747200.

The previous prime is 45501730531. The next prime is 45501730601. The reversal of 45501730560 is 6503710554.

45501730560 is a `hidden beast` number, since 4 + 5 + 50 + 17 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1467797745 + ... + 1467797775.

Almost surely, 2^45501730560 is an apocalyptic number.

45501730560 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 45501730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99837103296).

45501730560 is an abundant number, since it is smaller than the sum of its proper divisors (154172476032).

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

45501730560 is a wasteful number, since it uses less digits than its factorization.

45501730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 45501730560 in words is "forty-five billion, five hundred one million, seven hundred thirty thousand, five hundred sixty".