44365133156344 has 256 divisors, whose sum is σ = 115308968140800. Its totient is φ = 15438433075200.

The previous prime is 44365133156297. The next prime is 44365133156353.

44365133156344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 44365133156291 and 44365133156300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2663444464 + ... + 2663461120.

It is an arithmetic number, because the mean of its divisors is an integer number (450425656800).

Almost surely, 2^{44365133156344} is an apocalyptic number.

44365133156344 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 44365133156344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57654484070400).

44365133156344 is an abundant number, since it is smaller than the sum of its proper divisors (70943834984456).

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

44365133156344 is a wasteful number, since it uses less digits than its factorization.

44365133156344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27454 (or 27450 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 44365133156344 in words is "forty-four trillion, three hundred sixty-five billion, one hundred thirty-three million, one hundred fifty-six thousand, three hundred forty-four".