128629910385 has 28 divisors (see below), whose sum is σ = 231427977012. Its totient is φ = 68602616928.

The previous prime is 128629910371. The next prime is 128629910399. The reversal of 128629910385 is 583019926821.

128629910385 is a `hidden beast` number, since 1 + 2 + 8 + 629 + 9 + 1 + 0 + 3 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (128629910371) and next prime (128629910399).

It can be written as a sum of positive squares in 2 ways, for example, as 13279335696 + 115350574689 = 115236^2 + 339633^2 .

It is not a de Polignac number, because 128629910385 - 2¹⁰ = 128629909361 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17641062 + ... + 17648351.

Almost surely, 2^128629910385 is an apocalyptic number.

128629910385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128629910385 is a deficient number, since it is larger than the sum of its proper divisors (102798066627).

128629910385 is an frugal number, since it uses more digits than its factorization.

128629910385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35289436 (or 35289421 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 128629910385 in words is "one hundred twenty-eight billion, six hundred twenty-nine million, nine hundred ten thousand, three hundred eighty-five".