45061997760 has 756 divisors, whose sum is σ = 175652875008. Its totient is φ = 11004844032.

The previous prime is 45061997749. The next prime is 45061997803. The reversal of 45061997760 is 6779916054.

45061997760 is a `hidden beast` number, since 4 + 506 + 1 + 9 + 9 + 77 + 60 = 666.

45061997760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45061997697 and 45061997706.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 354818817 + ... + 354818943.

Almost surely, 2^45061997760 is an apocalyptic number.

45061997760 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 45061997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87826437504).

45061997760 is an abundant number, since it is smaller than the sum of its proper divisors (130590877248).

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

45061997760 is an equidigital number, since it uses as much as digits as its factorization.

45061997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

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

The spelling of 45061997760 in words is "forty-five billion, sixty-one million, nine hundred ninety-seven thousand, seven hundred sixty".