45550431360 has 576 divisors, whose sum is σ = 184117752000. Its totient is φ = 10346434560.

The previous prime is 45550431317. The next prime is 45550431361. The reversal of 45550431360 is 6313405554.

45550431360 is a `hidden beast` number, since 4 + 5 + 550 + 43 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45550431361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56165355 + ... + 56166165.

It is an arithmetic number, because the mean of its divisors is an integer number (319648875).

Almost surely, 2^45550431360 is an apocalyptic number.

45550431360 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 45550431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92058876000).

45550431360 is an abundant number, since it is smaller than the sum of its proper divisors (138567320640).

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

45550431360 is a wasteful number, since it uses less digits than its factorization.

45550431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 45550431360 in words is "forty-five billion, five hundred fifty million, four hundred thirty-one thousand, three hundred sixty".