44466144307656 has 128 divisors (see below), whose sum is σ = 116212240512000. Its totient is φ = 14151514722048.

The previous prime is 44466144307547. The next prime is 44466144307657. The reversal of 44466144307656 is 65670344166444.

It is a self number, because there is not a number n which added to its sum of digits gives 44466144307656.

It is not an unprimeable number, because it can be changed into a prime (44466144307657) 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, 1859795830 + ... + 1859819738.

It is an arithmetic number, because the mean of its divisors is an integer number (907908129000).

Almost surely, 2^{44466144307656} is an apocalyptic number.

44466144307656 is a gapful number since it is divisible by the number (46) 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 44466144307656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58106120256000).

44466144307656 is an abundant number, since it is smaller than the sum of its proper divisors (71746096204344).

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

44466144307656 is a wasteful number, since it uses less digits than its factorization.

44466144307656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30003 (or 29999 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 60.

The spelling of 44466144307656 in words is "forty-four trillion, four hundred sixty-six billion, one hundred forty-four million, three hundred seven thousand, six hundred fifty-six".