14426634673000 has 256 divisors, whose sum is σ = 39126805885440. Its totient is φ = 4920587776000.

The previous prime is 14426634672911. The next prime is 14426634673007. The reversal of 14426634673000 is 37643662441.

It is not an unprimeable number, because it can be changed into a prime (14426634673007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54659349 + ... + 54922651.

It is an arithmetic number, because the mean of its divisors is an integer number (152839085490).

Almost surely, 2^{14426634673000} is an apocalyptic number.

14426634673000 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 14426634673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563402942720).

14426634673000 is an abundant number, since it is smaller than the sum of its proper divisors (24700171212440).

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

14426634673000 is a wasteful number, since it uses less digits than its factorization.

14426634673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263645 (or 263631 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 14426634673000 in words is "fourteen trillion, four hundred twenty-six billion, six hundred thirty-four million, six hundred seventy-three thousand".