45416457172800 has 2688 divisors, whose sum is σ = 204598419148800. Its totient is φ = 9570078720000.

The previous prime is 45416457172799. The next prime is 45416457172843. The reversal of 45416457172800 is 827175461454.

It is a happy number.

45416457172800 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 64 + 571 + 7 + 2 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35398640959 + ... + 35398642241.

Almost surely, 2^{45416457172800} is an apocalyptic number.

45416457172800 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 45416457172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102299209574400).

45416457172800 is an abundant number, since it is smaller than the sum of its proper divisors (159181961976000).

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

45416457172800 is a wasteful number, since it uses less digits than its factorization.

45416457172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 45416457172800 in words is "forty-five trillion, four hundred sixteen billion, four hundred fifty-seven million, one hundred seventy-two thousand, eight hundred".