12929149449216 has 1408 divisors, whose sum is σ = 51572294860800. Its totient is φ = 3090135121920.

The previous prime is 12929149449193. The next prime is 12929149449247. The reversal of 12929149449216 is 61294494192921.

12929149449216 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 91 + 49 + 4 + 492 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12813824520 + ... + 12813825528.

Almost surely, 2^{12929149449216} is an apocalyptic number.

12929149449216 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 12929149449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786147430400).

12929149449216 is an abundant number, since it is smaller than the sum of its proper divisors (38643145411584).

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

12929149449216 is a wasteful number, since it uses less digits than its factorization.

12929149449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1508 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 12929149449216 in words is "twelve trillion, nine hundred twenty-nine billion, one hundred forty-nine million, four hundred forty-nine thousand, two hundred sixteen".