45613311744 has 288 divisors, whose sum is σ = 162998567424. Its totient is φ = 10936074240.

The previous prime is 45613311739. The next prime is 45613311811. The reversal of 45613311744 is 44711331654.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739102 + ... + 798434.

It is an arithmetic number, because the mean of its divisors is an integer number (565967248).

Almost surely, 2^45613311744 is an apocalyptic number.

45613311744 is a gapful number since it is divisible by the number (44) 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 45613311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81499283712).

45613311744 is an abundant number, since it is smaller than the sum of its proper divisors (117385255680).

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

45613311744 is a wasteful number, since it uses less digits than its factorization.

45613311744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59383 (or 59369 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The spelling of 45613311744 in words is "forty-five billion, six hundred thirteen million, three hundred eleven thousand, seven hundred forty-four".