44942611624944 has 80 divisors (see below), whose sum is σ = 127021455642240. Its totient is φ = 13579725402880.

The previous prime is 44942611624921. The next prime is 44942611624957.

44942611624944 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122466039 + ... + 122832470.

It is an arithmetic number, because the mean of its divisors is an integer number (1587768195528).

Almost surely, 2^{44942611624944} is an apocalyptic number.

44942611624944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44942611624944 is an abundant number, since it is smaller than the sum of its proper divisors (82078844017296).

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

44942611624944 is a wasteful number, since it uses less digits than its factorization.

44942611624944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245298878 (or 245298872 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 44942611624944 in words is "forty-four trillion, nine hundred forty-two billion, six hundred eleven million, six hundred twenty-four thousand, nine hundred forty-four".