45332686341824 has 448 divisors, whose sum is σ = 116668287221760. Its totient is φ = 17022767984640.

The previous prime is 45332686341749. The next prime is 45332686341937. The reversal of 45332686341824 is 42814368623354.

It is a tau number, because it is divible by the number of its divisors (448).

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, 9061098107 + ... + 9061103109.

Almost surely, 2^{45332686341824} 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 45332686341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58334143610880).

45332686341824 is an abundant number, since it is smaller than the sum of its proper divisors (71335600879936).

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

45332686341824 is a wasteful number, since it uses less digits than its factorization.

45332686341824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 6578 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 59.

The spelling of 45332686341824 in words is "forty-five trillion, three hundred thirty-two billion, six hundred eighty-six million, three hundred forty-one thousand, eight hundred twenty-four".