128426693616 has 600 divisors, whose sum is σ = 428773509120. Its totient is φ = 37141348608.

The previous prime is 128426693587. The next prime is 128426693627. The reversal of 128426693616 is 616396624821.

128426693616 is a `hidden beast` number, since 1 + 284 + 266 + 93 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1011233745 + ... + 1011233871.

Almost surely, 2^128426693616 is an apocalyptic number.

128426693616 is a gapful number since it is divisible by the number (16) 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 128426693616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214386754560).

128426693616 is an abundant number, since it is smaller than the sum of its proper divisors (300346815504).

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

128426693616 is an equidigital number, since it uses as much as digits as its factorization.

128426693616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 164 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 128426693616 in words is "one hundred twenty-eight billion, four hundred twenty-six million, six hundred ninety-three thousand, six hundred sixteen".