45846725760 has 480 divisors, whose sum is σ = 179988939900. Its totient is φ = 11112837120.

The previous prime is 45846725731. The next prime is 45846725801. The reversal of 45846725760 is 6752764854.

It is a happy number.

45846725760 is a `hidden beast` number, since 4 + 5 + 8 + 4 + 67 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45389450304 + 457275456 = 213048^2 + 21384^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 45846725697 and 45846725706.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6268986 + ... + 6276294.

Almost surely, 2^45846725760 is an apocalyptic number.

45846725760 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 45846725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994469950).

45846725760 is an abundant number, since it is smaller than the sum of its proper divisors (134142214140).

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

45846725760 is a wasteful number, since it uses less digits than its factorization.

45846725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 45846725760 in words is "forty-five billion, eight hundred forty-six million, seven hundred twenty-five thousand, seven hundred sixty".