128385850239504 has 2025 divisors, whose sum is σ = 463526786131101. Its totient is φ = 34264181952000.

The previous prime is 128385850239497. The next prime is 128385850239553. The reversal of 128385850239504 is 405932058583821.

It is a happy number.

The square root of 128385850239504 is 11330748.

It is a perfect power (a square), and thus also a powerful number.

128385850239504 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 58 + 50 + 23 + 9 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18991989680400 + 109393860559104 = 4357980^2 + 10459152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1808251411789 + ... + 1808251411859.

Almost surely, 2^{128385850239504} is an apocalyptic number.

128385850239504 is the 11330748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128385850239504

128385850239504 is an abundant number, since it is smaller than the sum of its proper divisors (335140935891597).

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

128385850239504 is a wasteful number, since it uses less digits than its factorization.

128385850239504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 128385850239504 in words is "one hundred twenty-eight trillion, three hundred eighty-five billion, eight hundred fifty million, two hundred thirty-nine thousand, five hundred four".