44552052864 has 480 divisors, whose sum is σ = 154381758300. Its totient is φ = 12700385280.

The previous prime is 44552052773. The next prime is 44552052877. The reversal of 44552052864 is 46825025544.

44552052864 is a `hidden beast` number, since 4 + 45 + 5 + 20 + 528 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38890995264 + 5661057600 = 197208^2 + 75240^2 .

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 59 ways as a sum of consecutive naturals, for example, 21325932 + ... + 21328020.

Almost surely, 2^44552052864 is an apocalyptic number.

44552052864 is a gapful number since it is divisible by the number (44) 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 44552052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77190879150).

44552052864 is an abundant number, since it is smaller than the sum of its proper divisors (109829705436).

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

44552052864 is a wasteful number, since it uses less digits than its factorization.

44552052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 44552052864 in words is "forty-four billion, five hundred fifty-two million, fifty-two thousand, eight hundred sixty-four".