45131238400 has 528 divisors, whose sum is σ = 125005213440. Its totient is φ = 16102195200.

The previous prime is 45131238353. The next prime is 45131238401. The reversal of 45131238400 is 483213154.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (45131238401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 851532774 + ... + 851532826.

Almost surely, 2^45131238400 is an apocalyptic number.

45131238400 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 45131238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62502606720).

45131238400 is an abundant number, since it is smaller than the sum of its proper divisors (79873975040).

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

45131238400 is a wasteful number, since it uses less digits than its factorization.

45131238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 45131238400 in words is "forty-five billion, one hundred thirty-one million, two hundred thirty-eight thousand, four hundred".