44959434912 has 720 divisors, whose sum is σ = 167408398080. Its totient is φ = 11757312000.

The previous prime is 44959434911. The next prime is 44959434917. The reversal of 44959434912 is 21943495944.

44959434912 is a `hidden beast` number, since 4 + 4 + 9 + 594 + 3 + 49 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (44959434911) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74807412 + ... + 74808012.

It is an arithmetic number, because the mean of its divisors is an integer number (232511664).

Almost surely, 2^44959434912 is an apocalyptic number.

44959434912 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 44959434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83704199040).

44959434912 is an abundant number, since it is smaller than the sum of its proper divisors (122448963168).

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

44959434912 is a wasteful number, since it uses less digits than its factorization.

44959434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 663 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 44959434912 in words is "forty-four billion, nine hundred fifty-nine million, four hundred thirty-four thousand, nine hundred twelve".