129148206516 has 288 divisors, whose sum is σ = 404570678400. Its totient is φ = 35494018560.

The previous prime is 129148206503. The next prime is 129148206521. The reversal of 129148206516 is 615602841921.

129148206516 is a `hidden beast` number, since 1 + 2 + 91 + 48 + 2 + 0 + 6 + 516 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17422851 + ... + 17430261.

It is an arithmetic number, because the mean of its divisors is an integer number (1404759300).

Almost surely, 2^129148206516 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 129148206516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202285339200).

129148206516 is an abundant number, since it is smaller than the sum of its proper divisors (275422471884).

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

129148206516 is a wasteful number, since it uses less digits than its factorization.

129148206516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 129148206516 in words is "one hundred twenty-nine billion, one hundred forty-eight million, two hundred six thousand, five hundred sixteen".