45761438896 has 80 divisors (see below), whose sum is σ = 96096036960. Its totient is φ = 21039298560.

The previous prime is 45761438873. The next prime is 45761438909. The reversal of 45761438896 is 69883416754.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2446090 + ... + 2464726.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200462).

Almost surely, 2^45761438896 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 45761438896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048018480).

45761438896 is an abundant number, since it is smaller than the sum of its proper divisors (50334598064).

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

45761438896 is a wasteful number, since it uses less digits than its factorization.

45761438896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902 (or 18896 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 61.

The spelling of 45761438896 in words is "forty-five billion, seven hundred sixty-one million, four hundred thirty-eight thousand, eight hundred ninety-six".