12881441664000 has 4928 divisors, whose sum is σ = 62389788394752. Its totient is φ = 2579890176000.

The previous prime is 12881441663983. The next prime is 12881441664017. The reversal of 12881441664000 is 46614418821.

12881441664000 is a `hidden beast` number, since 1 + 2 + 8 + 81 + 4 + 4 + 166 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12881441663983) and next prime (12881441664017).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 314181503980 + ... + 314181504020.

Almost surely, 2^{12881441664000} is an apocalyptic number.

12881441664000 is a gapful number since it is divisible by the number (10) 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 12881441664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31194894197376).

12881441664000 is an abundant number, since it is smaller than the sum of its proper divisors (49508346730752).

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

12881441664000 is an equidigital number, since it uses as much as digits as its factorization.

12881441664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12881441664000 in words is "twelve trillion, eight hundred eighty-one billion, four hundred forty-one million, six hundred sixty-four thousand".