129700894464 has 288 divisors, whose sum is σ = 392126192640. Its totient is φ = 42272575488.

The previous prime is 129700894459. The next prime is 129700894487. The reversal of 129700894464 is 464498007921.

129700894464 is a `hidden beast` number, since 1 + 2 + 97 + 0 + 0 + 8 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 129700894464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178405269 + ... + 178405995.

It is an arithmetic number, because the mean of its divisors is an integer number (1361549280).

Almost surely, 2^129700894464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129700894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196063096320).

129700894464 is an abundant number, since it is smaller than the sum of its proper divisors (262425298176).

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

129700894464 is an equidigital number, since it uses as much as digits as its factorization.

129700894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 129700894464 in words is "one hundred twenty-nine billion, seven hundred million, eight hundred ninety-four thousand, four hundred sixty-four".