44948924448768 has 240 divisors, whose sum is σ = 133204539468000. Its totient is φ = 14979981901824.

The previous prime is 44948924448749. The next prime is 44948924448773. The reversal of 44948924448768 is 86784442984944.

44948924448768 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 8 + 92 + 44 + 487 + 6 + 8 = 666.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3967592928 + ... + 3967604256.

It is an arithmetic number, because the mean of its divisors is an integer number (555018914450).

Almost surely, 2^{44948924448768} is an apocalyptic number.

44948924448768 is a gapful number since it is divisible by the number (48) 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 44948924448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66602269734000).

44948924448768 is an abundant number, since it is smaller than the sum of its proper divisors (88255615019232).

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

44948924448768 is an equidigital number, since it uses as much as digits as its factorization.

44948924448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20335 (or 20303 counting only the distinct ones).

The product of its digits is 14269022208, while the sum is 81.

The spelling of 44948924448768 in words is "forty-four trillion, nine hundred forty-eight billion, nine hundred twenty-four million, four hundred forty-eight thousand, seven hundred sixty-eight".