129114138360480 has 1536 divisors, whose sum is σ = 527140506009600. Its totient is φ = 26376371159040.

The previous prime is 129114138360463. The next prime is 129114138360497. The reversal of 129114138360480 is 84063831411921.

It is an interprime number because it is at equal distance from previous prime (129114138360463) and next prime (129114138360497).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16709474377 + ... + 16709482103.

It is an arithmetic number, because the mean of its divisors is an integer number (343190433600).

Almost surely, 2^{129114138360480} is an apocalyptic number.

129114138360480 is a gapful number since it is divisible by the number (10) 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 129114138360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263570253004800).

129114138360480 is an abundant number, since it is smaller than the sum of its proper divisors (398026367649120).

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

129114138360480 is a wasteful number, since it uses less digits than its factorization.

129114138360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 129114138360480 in words is "one hundred twenty-nine trillion, one hundred fourteen billion, one hundred thirty-eight million, three hundred sixty thousand, four hundred eighty".