44161006155264 has 480 divisors, whose sum is σ = 137515192214400. Its totient is φ = 13597193502720.

The previous prime is 44161006155251. The next prime is 44161006155289. The reversal of 44161006155264 is 46255160016144.

44161006155264 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 1 + 0 + 0 + 615 + 5 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8826902587 + ... + 8826907589.

It is an arithmetic number, because the mean of its divisors is an integer number (286489983780).

Almost surely, 2^{44161006155264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44161006155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68757596107200).

44161006155264 is an abundant number, since it is smaller than the sum of its proper divisors (93354186059136).

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

44161006155264 is a wasteful number, since it uses less digits than its factorization.

44161006155264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 44161006155264 in words is "forty-four trillion, one hundred sixty-one billion, six million, one hundred fifty-five thousand, two hundred sixty-four".