45415713744 has 200 divisors, whose sum is σ = 136073076480. Its totient is φ = 14608512000.

The previous prime is 45415713731. The next prime is 45415713781. The reversal of 45415713744 is 44731751454.

45415713744 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 571 + 3 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45415713744.

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 39 ways as a sum of consecutive naturals, for example, 16109167 + ... + 16111985.

Almost surely, 2^45415713744 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 45415713744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68036538240).

45415713744 is an abundant number, since it is smaller than the sum of its proper divisors (90657362736).

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

45415713744 is a wasteful number, since it uses less digits than its factorization.

45415713744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3256 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 45415713744 in words is "forty-five billion, four hundred fifteen million, seven hundred thirteen thousand, seven hundred forty-four".