12893246956128 has 288 divisors, whose sum is σ = 42913120626432. Its totient is φ = 3317594987520.

The previous prime is 12893246956063. The next prime is 12893246956307. The reversal of 12893246956128 is 82165964239821.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7959426 + ... + 9441342.

It is an arithmetic number, because the mean of its divisors is an integer number (149003891064).

Almost surely, 2^{12893246956128} 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 12893246956128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21456560313216).

12893246956128 is an abundant number, since it is smaller than the sum of its proper divisors (30019873670304).

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

12893246956128 is a wasteful number, since it uses less digits than its factorization.

12893246956128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482066 (or 1482047 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 66.

The spelling of 12893246956128 in words is "twelve trillion, eight hundred ninety-three billion, two hundred forty-six million, nine hundred fifty-six thousand, one hundred twenty-eight".