45752106400 has 1152 divisors, whose sum is σ = 164629463040. Its totient is φ = 11943936000.

The previous prime is 45752106371. The next prime is 45752106467. The reversal of 45752106400 is 460125754.

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 191 ways as a sum of consecutive naturals, for example, 471671152 + ... + 471671248.

It is an arithmetic number, because the mean of its divisors is an integer number (142907520).

Almost surely, 2^45752106400 is an apocalyptic number.

45752106400 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 45752106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82314731520).

45752106400 is an abundant number, since it is smaller than the sum of its proper divisors (118877356640).

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

45752106400 is a wasteful number, since it uses less digits than its factorization.

45752106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 45752106400 in words is "forty-five billion, seven hundred fifty-two million, one hundred six thousand, four hundred".