44157133175144 has 64 divisors (see below), whose sum is σ = 90810018129600. Its totient is φ = 19963053388800.

The previous prime is 44157133175081. The next prime is 44157133175147.

44157133175144 is nontrivially palindromic in base 10.

44157133175144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44157133175092 and 44157133175101.

It is not an unprimeable number, because it can be changed into a prime (44157133175147) by changing a digit.

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, 15596567 + ... + 18208985.

It is an arithmetic number, because the mean of its divisors is an integer number (1418906533275).

Almost surely, 2^{44157133175144} is an apocalyptic number.

44157133175144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44157133175144 is an abundant number, since it is smaller than the sum of its proper divisors (46652884954456).

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

44157133175144 is a wasteful number, since it uses less digits than its factorization.

44157133175144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613474 (or 2613470 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

The spelling of 44157133175144 in words is "forty-four trillion, one hundred fifty-seven billion, one hundred thirty-three million, one hundred seventy-five thousand, one hundred forty-four".