45313510400 has 264 divisors, whose sum is σ = 120314472000. Its totient is φ = 16869703680.

The previous prime is 45313510393. The next prime is 45313510441. The reversal of 45313510400 is 401531354.

It is a self number, because there is not a number n which added to its sum of digits gives 45313510400.

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, 28696811 + ... + 28698389.

Almost surely, 2^45313510400 is an apocalyptic number.

45313510400 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 45313510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60157236000).

45313510400 is an abundant number, since it is smaller than the sum of its proper divisors (75000961600).

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

45313510400 is a wasteful number, since it uses less digits than its factorization.

45313510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 45313510400 in words is "forty-five billion, three hundred thirteen million, five hundred ten thousand, four hundred".