129248349984 has 360 divisors, whose sum is σ = 419641644240. Its totient is φ = 37630075392.

The previous prime is 129248349973. The next prime is 129248349991. The reversal of 129248349984 is 489943842921.

129248349984 is a `hidden beast` number, since 1 + 29 + 2 + 48 + 3 + 499 + 84 = 666.

It is a super-3 number, since 3×129248349984³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (35831808) is a multiple of the sum of its prime divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 156285379 + ... + 156286205.

It is an arithmetic number, because the mean of its divisors is an integer number (1165671234).

Almost surely, 2^129248349984 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 129248349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209820822120).

129248349984 is an abundant number, since it is smaller than the sum of its proper divisors (290393294256).

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

129248349984 is an equidigital number, since it uses as much as digits as its factorization.

129248349984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 864 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 129248349984 in words is "one hundred twenty-nine billion, two hundred forty-eight million, three hundred forty-nine thousand, nine hundred eighty-four".