45118368400 has 120 divisors (see below), whose sum is σ = 125375350464. Its totient is φ = 15282700800.

The previous prime is 45118368389. The next prime is 45118368473. The reversal of 45118368400 is 486381154.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 135330 + ... + 329470.

Almost surely, 2^45118368400 is an apocalyptic number.

45118368400 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 45118368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62687675232).

45118368400 is an abundant number, since it is smaller than the sum of its proper divisors (80256982064).

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

45118368400 is a wasteful number, since it uses less digits than its factorization.

45118368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194249 (or 194238 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 45118368400 in words is "forty-five billion, one hundred eighteen million, three hundred sixty-eight thousand, four hundred".