44688145920 has 480 divisors, whose sum is σ = 165360666240. Its totient is φ = 10259251200.

The previous prime is 44688145897. The next prime is 44688145927. The reversal of 44688145920 is 2954188644.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44688145927) 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 47 ways as a sum of consecutive naturals, for example, 17655055 + ... + 17657585.

It is an arithmetic number, because the mean of its divisors is an integer number (344501388).

Almost surely, 2^44688145920 is an apocalyptic number.

44688145920 is a gapful number since it is divisible by the number (40) 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 44688145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82680333120).

44688145920 is an abundant number, since it is smaller than the sum of its proper divisors (120672520320).

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

44688145920 is a wasteful number, since it uses less digits than its factorization.

44688145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 44688145920 in words is "forty-four billion, six hundred eighty-eight million, one hundred forty-five thousand, nine hundred twenty".