129646084096 has 135 divisors (see below), whose sum is σ = 271330321899. Its totient is φ = 61942530048.

The previous prime is 129646084069. The next prime is 129646084123. The reversal of 129646084096 is 690480646921.

The square root of 129646084096 is 360064.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (129646084069) and next prime (129646084123).

It can be written as a sum of positive squares in 4 ways, for example, as 92160000 + 129553924096 = 9600^2 + 359936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1336557520 + ... + 1336557616.

Almost surely, 2^129646084096 is an apocalyptic number.

129646084096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129646084096 is the 360064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129646084096

129646084096 is an abundant number, since it is smaller than the sum of its proper divisors (141684237803).

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

129646084096 is an frugal number, since it uses more digits than its factorization.

129646084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 129646084096 in words is "one hundred twenty-nine billion, six hundred forty-six million, eighty-four thousand, ninety-six".