45297948960 has 576 divisors, whose sum is σ = 180130728960. Its totient is φ = 10257408000.

The previous prime is 45297948869. The next prime is 45297949013. The reversal of 45297948960 is 6984979254.

45297948960 is a `hidden beast` number, since 4 + 5 + 2 + 97 + 9 + 489 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14238570 + ... + 14241750.

It is an arithmetic number, because the mean of its divisors is an integer number (312726960).

Almost surely, 2^45297948960 is an apocalyptic number.

45297948960 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 45297948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90065364480).

45297948960 is an abundant number, since it is smaller than the sum of its proper divisors (134832780000).

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

45297948960 is a wasteful number, since it uses less digits than its factorization.

45297948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 45297948960 in words is "forty-five billion, two hundred ninety-seven million, nine hundred forty-eight thousand, nine hundred sixty".