45417757320 has 512 divisors, whose sum is σ = 173638080000. Its totient is φ = 10466869248.

The previous prime is 45417757303. The next prime is 45417757351. The reversal of 45417757320 is 2375771454.

45417757320 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 77 + 573 + 2 + 0 = 666.

45417757320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 23740684 + ... + 23742596.

It is an arithmetic number, because the mean of its divisors is an integer number (339136875).

Almost surely, 2^45417757320 is an apocalyptic number.

45417757320 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 45417757320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86819040000).

45417757320 is an abundant number, since it is smaller than the sum of its proper divisors (128220322680).

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

45417757320 is a wasteful number, since it uses less digits than its factorization.

45417757320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 45417757320 in words is "forty-five billion, four hundred seventeen million, seven hundred fifty-seven thousand, three hundred twenty".