44552901609216 has 2592 divisors, whose sum is σ = 186367829776128. Its totient is φ = 10429206036480.

The previous prime is 44552901609211. The next prime is 44552901609311. The reversal of 44552901609216 is 61290610925544.

It is a happy number.

44552901609216 is a `hidden beast` number, since 4 + 4 + 5 + 5 + 2 + 9 + 0 + 1 + 609 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×44552901609216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44552901609211) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18743331420 + ... + 18743333796.

Almost surely, 2^{44552901609216} 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 44552901609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93183914888064).

44552901609216 is an abundant number, since it is smaller than the sum of its proper divisors (141814928166912).

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

44552901609216 is a wasteful number, since it uses less digits than its factorization.

44552901609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 44552901609216 in words is "forty-four trillion, five hundred fifty-two billion, nine hundred one million, six hundred nine thousand, two hundred sixteen".