45579145600 has 192 divisors, whose sum is σ = 121730043600. Its totient is φ = 16804454400.

The previous prime is 45579145597. The next prime is 45579145613. The reversal of 45579145600 is 654197554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2239470 + ... + 2259730.

Almost surely, 2^45579145600 is an apocalyptic number.

45579145600 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 45579145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60865021800).

45579145600 is an abundant number, since it is smaller than the sum of its proper divisors (76150898000).

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

45579145600 is a wasteful number, since it uses less digits than its factorization.

45579145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20341 (or 20324 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 45579145600 in words is "forty-five billion, five hundred seventy-nine million, one hundred forty-five thousand, six hundred".