6344004102912 has 1296 divisors, whose sum is σ = 23633638479360. Its totient is φ = 1627884453888.

The previous prime is 6344004102869. The next prime is 6344004102971. The reversal of 6344004102912 is 2192014004436.

6344004102912 is a `hidden beast` number, since 63 + 4 + 400 + 4 + 102 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15140821039 + ... + 15140821457.

It is an arithmetic number, because the mean of its divisors is an integer number (18235832160).

Almost surely, 2^{6344004102912} 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 6344004102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11816819239680).

6344004102912 is an abundant number, since it is smaller than the sum of its proper divisors (17289634376448).

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

6344004102912 is an equidigital number, since it uses as much as digits as its factorization.

6344004102912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 6344004102912 in words is "six trillion, three hundred forty-four billion, four million, one hundred two thousand, nine hundred twelve".