129232893888 has 336 divisors, whose sum is σ = 433226626560. Its totient is φ = 36069414912.

The previous prime is 129232893887. The next prime is 129232893893. The reversal of 129232893888 is 888398232921.

129232893888 is a `hidden beast` number, since 12 + 9 + 232 + 8 + 9 + 388 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×129232893888² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129232893887) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39725670 + ... + 39728922.

It is an arithmetic number, because the mean of its divisors is an integer number (1289364960).

Almost surely, 2^129232893888 is an apocalyptic number.

129232893888 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 129232893888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216613313280).

129232893888 is an abundant number, since it is smaller than the sum of its proper divisors (303993732672).

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

129232893888 is a wasteful number, since it uses less digits than its factorization.

129232893888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3491 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 129232893888 in words is "one hundred twenty-nine billion, two hundred thirty-two million, eight hundred ninety-three thousand, eight hundred eighty-eight".