129309462382032 has 240 divisors, whose sum is σ = 371326511582208. Its totient is φ = 41993434644480.

The previous prime is 129309462382003. The next prime is 129309462382081. The reversal of 129309462382032 is 230283264903921.

129309462382032 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 0 + 9 + 4 + 623 + 8 + 2 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129309462382032.

It is a congruent number.

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, 8542600768 + ... + 8542615904.

Almost surely, 2^{129309462382032} is an apocalyptic number.

129309462382032 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 129309462382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185663255791104).

129309462382032 is an abundant number, since it is smaller than the sum of its proper divisors (242017049200176).

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

129309462382032 is a wasteful number, since it uses less digits than its factorization.

129309462382032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25098 (or 25089 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 129309462382032 in words is "one hundred twenty-nine trillion, three hundred nine billion, four hundred sixty-two million, three hundred eighty-two thousand, thirty-two".