45347430960 has 320 divisors, whose sum is σ = 169855795200. Its totient is φ = 11053366272.

The previous prime is 45347430899. The next prime is 45347430971. The reversal of 45347430960 is 6903474354.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2884401 + ... + 2900079.

It is an arithmetic number, because the mean of its divisors is an integer number (530799360).

Almost surely, 2^45347430960 is an apocalyptic number.

45347430960 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 45347430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84927897600).

45347430960 is an abundant number, since it is smaller than the sum of its proper divisors (124508364240).

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

45347430960 is a wasteful number, since it uses less digits than its factorization.

45347430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817 (or 15805 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 45347430960 in words is "forty-five billion, three hundred forty-seven million, four hundred thirty thousand, nine hundred sixty".