45662500800 has 504 divisors, whose sum is σ = 186872067200. Its totient is φ = 10358876160.

The previous prime is 45662500759. The next prime is 45662500811. The reversal of 45662500800 is 800526654.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 14009571 + ... + 14012829.

Almost surely, 2^45662500800 is an apocalyptic number.

45662500800 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 45662500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93436033600).

45662500800 is an abundant number, since it is smaller than the sum of its proper divisors (141209566400).

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

45662500800 is a wasteful number, since it uses less digits than its factorization.

45662500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45662500800 in words is "forty-five billion, six hundred sixty-two million, five hundred thousand, eight hundred".