13434104272176 has 320 divisors, whose sum is σ = 45313999718400. Its totient is φ = 3730172580864.

The previous prime is 13434104272157. The next prime is 13434104272201. The reversal of 13434104272176 is 67127240143431.

13434104272176 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 1 + 0 + 427 + 217 + 6 = 666.

13434104272176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95370085 + ... + 95510843.

It is an arithmetic number, because the mean of its divisors is an integer number (141606249120).

Almost surely, 2^{13434104272176} is an apocalyptic number.

13434104272176 is a gapful number since it is divisible by the number (16) 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 13434104272176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22656999859200).

13434104272176 is an abundant number, since it is smaller than the sum of its proper divisors (31879895446224).

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

13434104272176 is a wasteful number, since it uses less digits than its factorization.

13434104272176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141673 (or 141661 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 13434104272176 in words is "thirteen trillion, four hundred thirty-four billion, one hundred four million, two hundred seventy-two thousand, one hundred seventy-six".