44163066036144 has 160 divisors (see below), whose sum is σ = 128522279761920. Its totient is φ = 12946216550400.

The previous prime is 44163066036143. The next prime is 44163066036149.

44163066036144 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 44163066036093 and 44163066036102.

It is not an unprimeable number, because it can be changed into a prime (44163066036143) 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, 43511854 + ... + 44515250.

It is an arithmetic number, because the mean of its divisors is an integer number (803264248512).

Almost surely, 2^{44163066036144} is an apocalyptic number.

44163066036144 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 44163066036144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64261139880960).

44163066036144 is an abundant number, since it is smaller than the sum of its proper divisors (84359213725776).

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

44163066036144 is a wasteful number, since it uses less digits than its factorization.

44163066036144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006139 (or 1006133 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 44163066036144 in words is "forty-four trillion, one hundred sixty-three billion, sixty-six million, thirty-six thousand, one hundred forty-four".