128925425664 has 504 divisors, whose sum is σ = 438198329088. Its totient is φ = 36415733760.

The previous prime is 128925425641. The next prime is 128925425677. The reversal of 128925425664 is 466524529821.

128925425664 is a `hidden beast` number, since 1 + 2 + 8 + 92 + 542 + 5 + 6 + 6 + 4 = 666.

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

It is a super-3 number, since 3×128925425664³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128925425664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 458809204 + ... + 458809484.

Almost surely, 2^128925425664 is an apocalyptic number.

128925425664 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 128925425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219099164544).

128925425664 is an abundant number, since it is smaller than the sum of its proper divisors (309272903424).

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

128925425664 is a wasteful number, since it uses less digits than its factorization.

128925425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 420 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 128925425664 in words is "one hundred twenty-eight billion, nine hundred twenty-five million, four hundred twenty-five thousand, six hundred sixty-four".