14642233406000 has 160 divisors (see below), whose sum is σ = 36373704499392. Its totient is φ = 5696734924800.

The previous prime is 14642233405999. The next prime is 14642233406023. The reversal of 14642233406000 is 60433224641.

It is a super-6 number, since 6×14642233406000⁶ (a number of 80 digits) contains 666666 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238027247 + ... + 238088753.

Almost surely, 2^{14642233406000} is an apocalyptic number.

14642233406000 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 14642233406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186852249696).

14642233406000 is an abundant number, since it is smaller than the sum of its proper divisors (21731471093392).

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

14642233406000 is a wasteful number, since it uses less digits than its factorization.

14642233406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64784 (or 64768 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 14642233406000 in words is "fourteen trillion, six hundred forty-two billion, two hundred thirty-three million, four hundred six thousand".