129779558246448 has 640 divisors, whose sum is σ = 440305175808000. Its totient is φ = 36184859504640.

The previous prime is 129779558246431. The next prime is 129779558246449. The reversal of 129779558246448 is 844642855977921.

129779558246448 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 7 + 9 + 55 + 82 + 46 + 448 = 666.

129779558246448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (129779558246449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 852541990 + ... + 852694202.

It is an arithmetic number, because the mean of its divisors is an integer number (687976837200).

Almost surely, 2^{129779558246448} is an apocalyptic number.

129779558246448 is a gapful number since it is divisible by the number (18) 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 129779558246448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220152587904000).

129779558246448 is an abundant number, since it is smaller than the sum of its proper divisors (310525617561552).

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

129779558246448 is a wasteful number, since it uses less digits than its factorization.

129779558246448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152562 (or 152550 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 81.

The spelling of 129779558246448 in words is "one hundred twenty-nine trillion, seven hundred seventy-nine billion, five hundred fifty-eight million, two hundred forty-six thousand, four hundred forty-eight".