44135333353144 has 64 divisors (see below), whose sum is σ = 91428478848000. Its totient is φ = 19805640117120.

The previous prime is 44135333353123. The next prime is 44135333353187.

44135333353144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44135333353144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44135333353094 and 44135333353103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72198037 + ... + 72806779.

It is an arithmetic number, because the mean of its divisors is an integer number (1428569982000).

Almost surely, 2^{44135333353144} is an apocalyptic number.

44135333353144 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 44135333353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45714239424000).

44135333353144 is an abundant number, since it is smaller than the sum of its proper divisors (47293145494856).

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

44135333353144 is a wasteful number, since it uses less digits than its factorization.

44135333353144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619268 (or 619264 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

It can be divided in two parts, 4413533 and 3353144, that added together give a palindrome (7766677).

The spelling of 44135333353144 in words is "forty-four trillion, one hundred thirty-five billion, three hundred thirty-three million, three hundred fifty-three thousand, one hundred forty-four".