45447480481536 has 324 divisors, whose sum is σ = 156147790400784. Its totient is φ = 12668285952000.

The previous prime is 45447480481489. The next prime is 45447480481607. The reversal of 45447480481536 is 63518408474454.

45447480481536 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 74 + 80 + 481 + 5 + 3 + 6 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 280540 + ... + 9538011.

Almost surely, 2^{45447480481536} 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 45447480481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78073895200392).

45447480481536 is an abundant number, since it is smaller than the sum of its proper divisors (110700309919248).

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

45447480481536 is a wasteful number, since it uses less digits than its factorization.

45447480481536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818628 (or 9818604 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 45447480481536 in words is "forty-five trillion, four hundred forty-seven billion, four hundred eighty million, four hundred eighty-one thousand, five hundred thirty-six".