45232479903744 has 896 divisors, whose sum is σ = 160409124748800. Its totient is φ = 12476922200064.

The previous prime is 45232479903731. The next prime is 45232479903763. The reversal of 45232479903744 is 44730997423254.

45232479903744 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 2 + 479 + 90 + 3 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3636922294 + ... + 3636934730.

Almost surely, 2^{45232479903744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45232479903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80204562374400).

45232479903744 is an abundant number, since it is smaller than the sum of its proper divisors (115176644845056).

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

45232479903744 is an frugal number, since it uses more digits than its factorization.

45232479903744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12520 (or 12478 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 45232479903744 in words is "forty-five trillion, two hundred thirty-two billion, four hundred seventy-nine million, nine hundred three thousand, seven hundred forty-four".