44968325160960 has 2240 divisors, whose sum is σ = 176481178030080. Its totient is φ = 10915801989120.

The previous prime is 44968325160959. The next prime is 44968325160961. The reversal of 44968325160960 is 6906152386944.

44968325160960 is a `hidden beast` number, since 4 + 4 + 9 + 68 + 325 + 160 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (44968325160959) and next prime (44968325160961).

It is not an unprimeable number, because it can be changed into a prime (44968325160961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 328235950012 + ... + 328235950148.

It is an arithmetic number, because the mean of its divisors is an integer number (78786240192).

Almost surely, 2^{44968325160960} is an apocalyptic number.

44968325160960 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 44968325160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88240589015040).

44968325160960 is an abundant number, since it is smaller than the sum of its proper divisors (131512852869120).

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

44968325160960 is a wasteful number, since it uses less digits than its factorization.

44968325160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 44968325160960 in words is "forty-four trillion, nine hundred sixty-eight billion, three hundred twenty-five million, one hundred sixty thousand, nine hundred sixty".