45354536478720 has 2592 divisors, whose sum is σ = 198463998096000. Its totient is φ = 9899468587008.

The previous prime is 45354536478703. The next prime is 45354536478731. The reversal of 45354536478720 is 2787463545354.

45354536478720 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 4 + 536 + 4 + 78 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 75717088981 + ... + 75717089579.

It is an arithmetic number, because the mean of its divisors is an integer number (76567900500).

Almost surely, 2^{45354536478720} is an apocalyptic number.

45354536478720 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 45354536478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99231999048000).

45354536478720 is an abundant number, since it is smaller than the sum of its proper divisors (153109461617280).

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

45354536478720 is an frugal number, since it uses more digits than its factorization.

45354536478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 63.

The spelling of 45354536478720 in words is "forty-five trillion, three hundred fifty-four billion, five hundred thirty-six million, four hundred seventy-eight thousand, seven hundred twenty".