44665641216000 has 3072 divisors, whose sum is σ = 197449143091200. Its totient is φ = 9746251776000.

The previous prime is 44665641215999. The next prime is 44665641216029. The reversal of 44665641216000 is 61214656644.

44665641216000 is a `hidden beast` number, since 4 + 4 + 6 + 6 + 564 + 1 + 21 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×44665641216000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 145490687847 + ... + 145490688153.

It is an arithmetic number, because the mean of its divisors is an integer number (64273809600).

Almost surely, 2^{44665641216000} is an apocalyptic number.

44665641216000 is a gapful number since it is divisible by the number (40) 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 44665641216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98724571545600).

44665641216000 is an abundant number, since it is smaller than the sum of its proper divisors (152783501875200).

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

44665641216000 is a wasteful number, since it uses less digits than its factorization.

44665641216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 44665641216000 in words is "forty-four trillion, six hundred sixty-five billion, six hundred forty-one million, two hundred sixteen thousand".