44642852352 has 320 divisors, whose sum is σ = 158979110400. Its totient is φ = 12083281920.

The previous prime is 44642852351. The next prime is 44642852369. The reversal of 44642852352 is 25325824644.

It is a happy number.

44642852352 is a `hidden beast` number, since 44 + 64 + 28 + 523 + 5 + 2 = 666.

It is a super-2 number, since 2×44642852352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44642852298 and 44642852307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44642852351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1826452 + ... + 1850732.

It is an arithmetic number, because the mean of its divisors is an integer number (496809720).

Almost surely, 2^44642852352 is an apocalyptic number.

44642852352 is a gapful number since it is divisible by the number (42) 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 44642852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79489555200).

44642852352 is an abundant number, since it is smaller than the sum of its proper divisors (114336258048).

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

44642852352 is a wasteful number, since it uses less digits than its factorization.

44642852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24334 (or 24312 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 44642852352 in words is "forty-four billion, six hundred forty-two million, eight hundred fifty-two thousand, three hundred fifty-two".