45308579360 has 192 divisors, whose sum is σ = 119039880960. Its totient is φ = 16159150080.

The previous prime is 45308579347. The next prime is 45308579413. The reversal of 45308579360 is 6397580354.

It is a junction number, because it is equal to n+sod(n) for n = 45308579299 and 45308579308.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19758374 + ... + 19760666.

It is an arithmetic number, because the mean of its divisors is an integer number (619999380).

Almost surely, 2^45308579360 is an apocalyptic number.

45308579360 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 45308579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59519940480).

45308579360 is an abundant number, since it is smaller than the sum of its proper divisors (73731301600).

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

45308579360 is a wasteful number, since it uses less digits than its factorization.

45308579360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 45308579360 in words is "forty-five billion, three hundred eight million, five hundred seventy-nine thousand, three hundred sixty".