12629189952 has 224 divisors, whose sum is σ = 39451280000. Its totient is φ = 3950456832.

The previous prime is 12629189897. The next prime is 12629189957. The reversal of 12629189952 is 25998192621.

12629189952 is a `hidden beast` number, since 1 + 2 + 629 + 1 + 8 + 9 + 9 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629189957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3576924 + ... + 3580452.

Almost surely, 2^12629189952 is an apocalyptic number.

12629189952 is a gapful number since it is divisible by the number (12) 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 12629189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725640000).

12629189952 is an abundant number, since it is smaller than the sum of its proper divisors (26822090048).

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

12629189952 is a wasteful number, since it uses less digits than its factorization.

12629189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3662 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 12629189952 in words is "twelve billion, six hundred twenty-nine million, one hundred eighty-nine thousand, nine hundred fifty-two".