45437868400 has 60 divisors (see below), whose sum is σ = 109425418200. Its totient is φ = 18131703040.

The previous prime is 45437868397. The next prime is 45437868419. The reversal of 45437868400 is 486873454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32046 + ... + 303154.

It is an arithmetic number, because the mean of its divisors is an integer number (1823756970).

Almost surely, 2^45437868400 is an apocalyptic number.

45437868400 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 45437868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54712709100).

45437868400 is an abundant number, since it is smaller than the sum of its proper divisors (63987549800).

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

45437868400 is a wasteful number, since it uses less digits than its factorization.

45437868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271546 (or 271535 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 45437868400 in words is "forty-five billion, four hundred thirty-seven million, eight hundred sixty-eight thousand, four hundred".