45418920960 has 352 divisors, whose sum is σ = 170088210432. Its totient is φ = 10127278080.

The previous prime is 45418920959. The next prime is 45418920997. The reversal of 45418920960 is 6902981454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4403169 + ... + 4413471.

Almost surely, 2^45418920960 is an apocalyptic number.

45418920960 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 45418920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85044105216).

45418920960 is an abundant number, since it is smaller than the sum of its proper divisors (124669289472).

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

45418920960 is a wasteful number, since it uses less digits than its factorization.

45418920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 45418920960 in words is "forty-five billion, four hundred eighteen million, nine hundred twenty thousand, nine hundred sixty".