44781152256 has 144 divisors (see below), whose sum is σ = 133797654900. Its totient is φ = 14412152832.

The previous prime is 44781152249. The next prime is 44781152323. The reversal of 44781152256 is 65225118744.

44781152256 is a `hidden beast` number, since 4 + 4 + 78 + 1 + 1 + 522 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39527801856 + 5253350400 = 198816^2 + 72480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492640 + ... + 576416.

Almost surely, 2^44781152256 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 44781152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66898827450).

44781152256 is an abundant number, since it is smaller than the sum of its proper divisors (89016502644).

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

44781152256 is a wasteful number, since it uses less digits than its factorization.

44781152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83834 (or 83811 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 44781152256 in words is "forty-four billion, seven hundred eighty-one million, one hundred fifty-two thousand, two hundred fifty-six".