129348285864 has 192 divisors, whose sum is σ = 380010864960. Its totient is φ = 36580561920.

The previous prime is 129348285809. The next prime is 129348285893. The reversal of 129348285864 is 468582843921.

It is a junction number, because it is equal to n+sod(n) for n = 129348285798 and 129348285807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67827199 + ... + 67829105.

It is an arithmetic number, because the mean of its divisors is an integer number (1979223255).

Almost surely, 2^129348285864 is an apocalyptic number.

129348285864 is a gapful number since it is divisible by the number (14) 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 129348285864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190005432480).

129348285864 is an abundant number, since it is smaller than the sum of its proper divisors (250662579096).

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

129348285864 is a wasteful number, since it uses less digits than its factorization.

129348285864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 60.

The spelling of 129348285864 in words is "one hundred twenty-nine billion, three hundred forty-eight million, two hundred eighty-five thousand, eight hundred sixty-four".