44934168960 has 512 divisors, whose sum is σ = 167302195200. Its totient is φ = 11376009216.

The previous prime is 44934168947. The next prime is 44934168973. The reversal of 44934168960 is 6986143944.

It is a happy number.

44934168960 is a `hidden beast` number, since 4 + 4 + 93 + 416 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (44934168947) and next prime (44934168973).

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

It is a junction number, because it is equal to n+sod(n) for n = 44934168897 and 44934168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66372142 + ... + 66372818.

It is an arithmetic number, because the mean of its divisors is an integer number (326762100).

Almost surely, 2^44934168960 is an apocalyptic number.

44934168960 is a gapful number since it is divisible by the number (40) 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 44934168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83651097600).

44934168960 is an abundant number, since it is smaller than the sum of its proper divisors (122368026240).

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

44934168960 is a wasteful number, since it uses less digits than its factorization.

44934168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 44934168960 in words is "forty-four billion, nine hundred thirty-four million, one hundred sixty-eight thousand, nine hundred sixty".