45358210800 has 180 divisors, whose sum is σ = 179892203920. Its totient is φ = 10367585280.

The previous prime is 45358210771. The next prime is 45358210817. The reversal of 45358210800 is 801285354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874765 + ... + 925164.

Almost surely, 2^45358210800 is an apocalyptic number.

45358210800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45358210800 is an abundant number, since it is smaller than the sum of its proper divisors (134533993120).

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

45358210800 is a wasteful number, since it uses less digits than its factorization.

45358210800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799960 (or 1799946 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45358210800 in words is "forty-five billion, three hundred fifty-eight million, two hundred ten thousand, eight hundred".