45716522342400 has 3456 divisors, whose sum is σ = 211151985408000. Its totient is φ = 9545593651200.

The previous prime is 45716522342399. The next prime is 45716522342417. The reversal of 45716522342400 is 424322561754.

45716522342400 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 6 + 5 + 2 + 234 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168695654265 + ... + 168695654535.

It is an arithmetic number, because the mean of its divisors is an integer number (61097218000).

Almost surely, 2^{45716522342400} is an apocalyptic number.

45716522342400 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 45716522342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105575992704000).

45716522342400 is an abundant number, since it is smaller than the sum of its proper divisors (165435463065600).

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

45716522342400 is a wasteful number, since it uses less digits than its factorization.

45716522342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 45716522342400 in words is "forty-five trillion, seven hundred sixteen billion, five hundred twenty-two million, three hundred forty-two thousand, four hundred".