129460326968448 has 1152 divisors, whose sum is σ = 479396370024000. Its totient is φ = 33301473214464.

The previous prime is 129460326968447. The next prime is 129460326968477. The reversal of 129460326968448 is 844869623064921.

It is a happy number.

129460326968448 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 60 + 3 + 2 + 69 + 68 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (129460326968447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1706328658 + ... + 1706404526.

Almost surely, 2^{129460326968448} is an apocalyptic number.

129460326968448 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 129460326968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239698185012000).

129460326968448 is an abundant number, since it is smaller than the sum of its proper divisors (349936043055552).

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

129460326968448 is a wasteful number, since it uses less digits than its factorization.

129460326968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76002 (or 75980 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 129460326968448 in words is "one hundred twenty-nine trillion, four hundred sixty billion, three hundred twenty-six million, nine hundred sixty-eight thousand, four hundred forty-eight".