129774233420832 has 576 divisors, whose sum is σ = 462764309559552. Its totient is φ = 30985533849600.

The previous prime is 129774233420803. The next prime is 129774233420869. The reversal of 129774233420832 is 238024332477921.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 254495788 + ... + 255005204.

It is an arithmetic number, because the mean of its divisors is an integer number (803410259652).

Almost surely, 2^{129774233420832} is an apocalyptic number.

129774233420832 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 129774233420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231382154779776).

129774233420832 is an abundant number, since it is smaller than the sum of its proper divisors (332990076138720).

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

129774233420832 is a wasteful number, since it uses less digits than its factorization.

129774233420832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509713 (or 509694 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 129774233420832 in words is "one hundred twenty-nine trillion, seven hundred seventy-four billion, two hundred thirty-three million, four hundred twenty thousand, eight hundred thirty-two".