12929084345088 has 180 divisors, whose sum is σ = 38710856185848. Its totient is φ = 4309693102080.

The previous prime is 12929084345071. The next prime is 12929084345101. The reversal of 12929084345088 is 88054348092921.

12929084345088 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 90 + 8 + 4 + 34 + 508 + 8 = 666.

It is a super-2 number, since 2×12929084345088² (a number of 27 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 3755908 + ... + 6321788.

Almost surely, 2^{12929084345088} is an apocalyptic number.

12929084345088 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 12929084345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355428092924).

12929084345088 is an abundant number, since it is smaller than the sum of its proper divisors (25781771840760).

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

12929084345088 is an frugal number, since it uses more digits than its factorization.

12929084345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565924 (or 2565886 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 12929084345088 in words is "twelve trillion, nine hundred twenty-nine billion, eighty-four million, three hundred forty-five thousand, eighty-eight".