45416949820200 has 480 divisors, whose sum is σ = 180296685898560. Its totient is φ = 10379713766400.

The previous prime is 45416949820183. The next prime is 45416949820213. The reversal of 45416949820200 is 202894961454.

45416949820200 is a `hidden beast` number, since 4 + 54 + 1 + 69 + 498 + 20 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1125248020 + ... + 1125288380.

It is an arithmetic number, because the mean of its divisors is an integer number (375618095622).

Almost surely, 2^{45416949820200} is an apocalyptic number.

45416949820200 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 45416949820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90148342949280).

45416949820200 is an abundant number, since it is smaller than the sum of its proper divisors (134879736078360).

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

45416949820200 is a wasteful number, since it uses less digits than its factorization.

45416949820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50319 (or 50301 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 45416949820200 in words is "forty-five trillion, four hundred sixteen billion, nine hundred forty-nine million, eight hundred twenty thousand, two hundred".