44144433444144 has 160 divisors (see below), whose sum is σ = 125461832928768. Its totient is φ = 13374260486400.

The previous prime is 44144433444127. The next prime is 44144433444149.

44144433444144 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44144433444144³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44144433444093 and 44144433444102.

It is not an unprimeable number, because it can be changed into a prime (44144433444149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311127522 + ... + 311269374.

Almost surely, 2^{44144433444144} is an apocalyptic number.

44144433444144 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 44144433444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62730916464384).

44144433444144 is an abundant number, since it is smaller than the sum of its proper divisors (81317399484624).

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

44144433444144 is a wasteful number, since it uses less digits than its factorization.

44144433444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146768 (or 146740 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

It can be divided in two parts, 4414443 and 3444144, that added together give a palindrome (7858587).

The spelling of 44144433444144 in words is "forty-four trillion, one hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, one hundred forty-four".