44106557164824 has 256 divisors, whose sum is σ = 138100492615680. Its totient is φ = 11404234321920.

The previous prime is 44106557164783. The next prime is 44106557164867. The reversal of 44106557164824 is 42846175560144.

It is a super-3 number, since 3×44106557164824³ (a number of 42 digits) contains 333 as substring.

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, 382868337 + ... + 382983519.

It is an arithmetic number, because the mean of its divisors is an integer number (539455049280).

Almost surely, 2^{44106557164824} is an apocalyptic number.

44106557164824 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 44106557164824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69050246307840).

44106557164824 is an abundant number, since it is smaller than the sum of its proper divisors (93993935450856).

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

44106557164824 is a wasteful number, since it uses less digits than its factorization.

44106557164824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116150 (or 116146 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 44106557164824 in words is "forty-four trillion, one hundred six billion, five hundred fifty-seven million, one hundred sixty-four thousand, eight hundred twenty-four".