12949884756032 has 336 divisors, whose sum is σ = 31486759032960. Its totient is φ = 5261798965248.

The previous prime is 12949884756013. The next prime is 12949884756073. The reversal of 12949884756032 is 23065748894921.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1260569648 + ... + 1260579920.

It is an arithmetic number, because the mean of its divisors is an integer number (93710592360).

It is a 1-persistent number, because it is pandigital, but 2⋅12949884756032 = 25899769512064 is not.

Almost surely, 2^{12949884756032} 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 12949884756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743379516480).

12949884756032 is an abundant number, since it is smaller than the sum of its proper divisors (18536874276928).

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

12949884756032 is a wasteful number, since it uses less digits than its factorization.

12949884756032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10578 (or 10561 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 68.

The spelling of 12949884756032 in words is "twelve trillion, nine hundred forty-nine billion, eight hundred eighty-four million, seven hundred fifty-six thousand, thirty-two".