45237756960 has 576 divisors, whose sum is σ = 178814563200. Its totient is φ = 10665768960.

The previous prime is 45237756919. The next prime is 45237756961. The reversal of 45237756960 is 6965773254.

45237756960 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 77 + 569 + 6 + 0 = 666.

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 = 45237756897 and 45237756906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45237756961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19339471 + ... + 19341809.

It is an arithmetic number, because the mean of its divisors is an integer number (310441950).

Almost surely, 2^45237756960 is an apocalyptic number.

45237756960 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 45237756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89407281600).

45237756960 is an abundant number, since it is smaller than the sum of its proper divisors (133576806240).

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

45237756960 is a wasteful number, since it uses less digits than its factorization.

45237756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 45237756960 in words is "forty-five billion, two hundred thirty-seven million, seven hundred fifty-six thousand, nine hundred sixty".