45883944288 has 576 divisors, whose sum is σ = 169431155712. Its totient is φ = 11891681280.

The previous prime is 45883944283. The next prime is 45883944317. The reversal of 45883944288 is 88244938854.

45883944288 is a `hidden beast` number, since 4 + 5 + 88 + 39 + 442 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45883944283) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 43164045 + ... + 43165107.

It is an arithmetic number, because the mean of its divisors is an integer number (294151312).

Almost surely, 2^45883944288 is an apocalyptic number.

45883944288 is a gapful number since it is divisible by the number (48) 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 45883944288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84715577856).

45883944288 is an abundant number, since it is smaller than the sum of its proper divisors (123547211424).

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

45883944288 is a wasteful number, since it uses less digits than its factorization.

45883944288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1149 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 45883944288 in words is "forty-five billion, eight hundred eighty-three million, nine hundred forty-four thousand, two hundred eighty-eight".