44786377368744 has 128 divisors (see below), whose sum is σ = 122578842240000. Its totient is φ = 13523471907840.

The previous prime is 44786377368673. The next prime is 44786377368751.

It is a happy number.

44786377368744 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 44786377368744.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84970464 + ... + 85495920.

It is an arithmetic number, because the mean of its divisors is an integer number (957647205000).

Almost surely, 2^{44786377368744} is an apocalyptic number.

44786377368744 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 44786377368744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61289421120000).

44786377368744 is an abundant number, since it is smaller than the sum of its proper divisors (77792464871256).

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

44786377368744 is a wasteful number, since it uses less digits than its factorization.

44786377368744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526623 (or 526619 counting only the distinct ones).

The product of its digits is 12745506816, while the sum is 78.

The spelling of 44786377368744 in words is "forty-four trillion, seven hundred eighty-six billion, three hundred seventy-seven million, three hundred sixty-eight thousand, seven hundred forty-four".