45281712024 has 96 divisors (see below), whose sum is σ = 128469201120. Its totient is φ = 14381334528.

The previous prime is 45281712017. The next prime is 45281712037. The reversal of 45281712024 is 42021718254.

45281712024 is a `hidden beast` number, since 4 + 528 + 1 + 7 + 120 + 2 + 4 = 666.

It is a Cunningham number, because it is equal to 212795²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45281712024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372394 + ... + 478790.

It is an arithmetic number, because the mean of its divisors is an integer number (1338220845).

Almost surely, 2^45281712024 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 45281712024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64234600560).

45281712024 is an abundant number, since it is smaller than the sum of its proper divisors (83187489096).

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

45281712024 is a wasteful number, since it uses less digits than its factorization.

45281712024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106689 (or 106682 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 45281712024 in words is "forty-five billion, two hundred eighty-one million, seven hundred twelve thousand, twenty-four".