44119648920672 has 480 divisors, whose sum is σ = 144625283066880. Its totient is φ = 13102583639040.

The previous prime is 44119648920671. The next prime is 44119648920713. The reversal of 44119648920672 is 27602984691144.

44119648920672 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 96 + 489 + 2 + 0 + 67 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44119648920671) 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 79 ways as a sum of consecutive naturals, for example, 395838583 + ... + 395950025.

It is an arithmetic number, because the mean of its divisors is an integer number (301302673056).

Almost surely, 2^{44119648920672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44119648920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72312641533440).

44119648920672 is an abundant number, since it is smaller than the sum of its proper divisors (100505634146208).

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

44119648920672 is a wasteful number, since it uses less digits than its factorization.

44119648920672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111888 (or 111871 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 44119648920672 in words is "forty-four trillion, one hundred nineteen billion, six hundred forty-eight million, nine hundred twenty thousand, six hundred seventy-two".