45417360960 has 672 divisors, whose sum is σ = 169988861952. Its totient is φ = 11528386560.

The previous prime is 45417360959. The next prime is 45417360977. The reversal of 45417360960 is 6906371454.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200076367 + ... + 200076593.

It is an arithmetic number, because the mean of its divisors is an integer number (252959616).

Almost surely, 2^45417360960 is an apocalyptic number.

45417360960 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 45417360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994430976).

45417360960 is an abundant number, since it is smaller than the sum of its proper divisors (124571500992).

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

45417360960 is a wasteful number, since it uses less digits than its factorization.

45417360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 45417360960 in words is "forty-five billion, four hundred seventeen million, three hundred sixty thousand, nine hundred sixty".