45113883984 has 320 divisors, whose sum is σ = 144604078080. Its totient is φ = 13377830400.

The previous prime is 45113883973. The next prime is 45113883989. The reversal of 45113883984 is 48938831154.

45113883984 is a `hidden beast` number, since 4 + 511 + 38 + 8 + 3 + 98 + 4 = 666.

45113883984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45113883984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45113883989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17683509 + ... + 17686059.

It is an arithmetic number, because the mean of its divisors is an integer number (451887744).

Almost surely, 2^45113883984 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 45113883984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72302039040).

45113883984 is an abundant number, since it is smaller than the sum of its proper divisors (99490194096).

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

45113883984 is a wasteful number, since it uses less digits than its factorization.

45113883984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2683 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 45113883984 in words is "forty-five billion, one hundred thirteen million, eight hundred eighty-three thousand, nine hundred eighty-four".