12998429391168 has 1008 divisors, whose sum is σ = 43191730167040. Its totient is φ = 3855081517056.

The previous prime is 12998429391121. The next prime is 12998429391191. The reversal of 12998429391168 is 86119392489921.

12998429391168 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 8 + 429 + 39 + 1 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 12998429391096 and 12998429391105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28074361305 + ... + 28074361767.

Almost surely, 2^{12998429391168} is an apocalyptic number.

12998429391168 is a gapful number since it is divisible by the number (18) 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 12998429391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595865083520).

12998429391168 is an abundant number, since it is smaller than the sum of its proper divisors (30193300775872).

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

12998429391168 is an equidigital number, since it uses as much as digits as its factorization.

12998429391168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 657 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 72.

The spelling of 12998429391168 in words is "twelve trillion, nine hundred ninety-eight billion, four hundred twenty-nine million, three hundred ninety-one thousand, one hundred sixty-eight".