129481462656 has 1280 divisors, whose sum is σ = 517534617600. Its totient is φ = 31173672960.

The previous prime is 129481462619. The next prime is 129481462673. The reversal of 129481462656 is 656264184921.

It is a happy number.

129481462656 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 8 + 1 + 4 + 626 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 555714316 + ... + 555714548.

It is an arithmetic number, because the mean of its divisors is an integer number (404323920).

Almost surely, 2^129481462656 is an apocalyptic number.

129481462656 is a gapful number since it is divisible by the number (16) 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 129481462656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258767308800).

129481462656 is an abundant number, since it is smaller than the sum of its proper divisors (388053154944).

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

129481462656 is a wasteful number, since it uses less digits than its factorization.

129481462656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 129481462656 in words is "one hundred twenty-nine billion, four hundred eighty-one million, four hundred sixty-two thousand, six hundred fifty-six".