128109495435264 has 240 divisors, whose sum is σ = 433796703289600. Its totient is φ = 36602712096768.

The previous prime is 128109495435217. The next prime is 128109495435293. The reversal of 128109495435264 is 462534594901821.

It is a happy number.

128109495435264 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 0 + 94 + 95 + 435 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17589094 + ... + 23782245.

Almost surely, 2^{128109495435264} is an apocalyptic number.

128109495435264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128109495435264 is an abundant number, since it is smaller than the sum of its proper divisors (305687207854336).

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

128109495435264 is an frugal number, since it uses more digits than its factorization.

128109495435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41371383 (or 41371351 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 128109495435264 in words is "one hundred twenty-eight trillion, one hundred nine billion, four hundred ninety-five million, four hundred thirty-five thousand, two hundred sixty-four".