12629213739288 has 384 divisors, whose sum is σ = 35929514649600. Its totient is φ = 4004335180800.

The previous prime is 12629213739253. The next prime is 12629213739293. The reversal of 12629213739288 is 88293731292621.

12629213739288 is a `hidden beast` number, since 1 + 2 + 6 + 29 + 213 + 7 + 392 + 8 + 8 = 666.

It is a super-3 number, since 3×12629213739288³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12847622845 + ... + 12847623827.

It is an arithmetic number, because the mean of its divisors is an integer number (93566444400).

Almost surely, 2^{12629213739288} is an apocalyptic number.

12629213739288 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 12629213739288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964757324800).

12629213739288 is an abundant number, since it is smaller than the sum of its proper divisors (23300300910312).

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

12629213739288 is a wasteful number, since it uses less digits than its factorization.

12629213739288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1776 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 12629213739288 in words is "twelve trillion, six hundred twenty-nine billion, two hundred thirteen million, seven hundred thirty-nine thousand, two hundred eighty-eight".