44031454656 has 336 divisors, whose sum is σ = 147410936064. Its totient is φ = 11322482688.

The previous prime is 44031454637. The next prime is 44031454669. The reversal of 44031454656 is 65645413044.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12084771 + ... + 12088413.

It is an arithmetic number, because the mean of its divisors is an integer number (438723024).

Almost surely, 2^44031454656 is an apocalyptic number.

44031454656 is a gapful number since it is divisible by the number (46) 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 44031454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73705468032).

44031454656 is an abundant number, since it is smaller than the sum of its proper divisors (103379481408).

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

44031454656 is a wasteful number, since it uses less digits than its factorization.

44031454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 44031454656 in words is "forty-four billion, thirty-one million, four hundred fifty-four thousand, six hundred fifty-six".