44946555264 has 384 divisors, whose sum is σ = 149466189600. Its totient is φ = 13349339136.

The previous prime is 44946555257. The next prime is 44946555319. The reversal of 44946555264 is 46255564944.

44946555264 is a `hidden beast` number, since 4 + 49 + 46 + 5 + 552 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×44946555264² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44946555264.

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, 11724292 + ... + 11728124.

Almost surely, 2^44946555264 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 44946555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74733094800).

44946555264 is an abundant number, since it is smaller than the sum of its proper divisors (104519634336).

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

44946555264 is a wasteful number, since it uses less digits than its factorization.

44946555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3880 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 44946555264 in words is "forty-four billion, nine hundred forty-six million, five hundred fifty-five thousand, two hundred sixty-four".