128244521664 has 504 divisors, whose sum is σ = 472483391328. Its totient is φ = 32983695360.

The previous prime is 128244521651. The next prime is 128244521707. The reversal of 128244521664 is 466125442821.

128244521664 is a `hidden beast` number, since 1 + 2 + 82 + 44 + 521 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11029774 + ... + 11041394.

Almost surely, 2^128244521664 is an apocalyptic number.

128244521664 is a gapful number since it is divisible by the number (14) 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 128244521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236241695664).

128244521664 is an abundant number, since it is smaller than the sum of its proper divisors (344238869664).

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

128244521664 is a wasteful number, since it uses less digits than its factorization.

128244521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693 (or 11673 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 128244521664 in words is "one hundred twenty-eight billion, two hundred forty-four million, five hundred twenty-one thousand, six hundred sixty-four".