44978287144896 has 1568 divisors, whose sum is σ = 169920655027200. Its totient is φ = 11511147479040.

The previous prime is 44978287144811. The next prime is 44978287144933. The reversal of 44978287144896 is 69844178287944.

44978287144896 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 8 + 2 + 87 + 1 + 448 + 96 = 666.

44978287144896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12702140886 + ... + 12702144426.

Almost surely, 2^{44978287144896} is an apocalyptic number.

44978287144896 is a gapful number since it is divisible by the number (46) 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 44978287144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84960327513600).

44978287144896 is an abundant number, since it is smaller than the sum of its proper divisors (124942367882304).

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

44978287144896 is a wasteful number, since it uses less digits than its factorization.

44978287144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3684 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 81.

The spelling of 44978287144896 in words is "forty-four trillion, nine hundred seventy-eight billion, two hundred eighty-seven million, one hundred forty-four thousand, eight hundred ninety-six".