44145978691584 has 2496 divisors, whose sum is σ = 162144999475200. Its totient is φ = 10431249776640.

The previous prime is 44145978691579. The next prime is 44145978691627. The reversal of 44145978691584 is 48519687954144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 658895204319 + ... + 658895204385.

Almost surely, 2^{44145978691584} is an apocalyptic number.

44145978691584 is a gapful number since it is divisible by the number (44) 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 44145978691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81072499737600).

44145978691584 is an abundant number, since it is smaller than the sum of its proper divisors (117999020783616).

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

44145978691584 is a wasteful number, since it uses less digits than its factorization.

44145978691584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 215 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 75.

The spelling of 44145978691584 in words is "forty-four trillion, one hundred forty-five billion, nine hundred seventy-eight million, six hundred ninety-one thousand, five hundred eighty-four".