45314303400400 has 60 divisors (see below), whose sum is σ = 108868308817600. Its totient is φ = 18125605664640.

The previous prime is 45314303400371. The next prime is 45314303400413. The reversal of 45314303400400 is 400430341354.

45314303400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91560811 + ... + 92054389.

Almost surely, 2^{45314303400400} is an apocalyptic number.

45314303400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45314303400400 is an abundant number, since it is smaller than the sum of its proper divisors (63554005417200).

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

45314303400400 is a wasteful number, since it uses less digits than its factorization.

45314303400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723116 (or 723105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 45314303400400 its reverse (400430341354), we get a palindrome (45714733741754).

The spelling of 45314303400400 in words is "forty-five trillion, three hundred fourteen billion, three hundred three million, four hundred thousand, four hundred".