14152216806000 has 1600 divisors, whose sum is σ = 63419300904960. Its totient is φ = 2962058803200.

The previous prime is 14152216805999. The next prime is 14152216806023. The reversal of 14152216806000 is 60861225141.

It is a happy number.

14152216806000 is a `hidden beast` number, since 1 + 4 + 15 + 22 + 16 + 8 + 0 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1872230221 + ... + 1872237779.

Almost surely, 2^{14152216806000} is an apocalyptic number.

14152216806000 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 14152216806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31709650452480).

14152216806000 is an abundant number, since it is smaller than the sum of its proper divisors (49267084098960).

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

14152216806000 is a wasteful number, since it uses less digits than its factorization.

14152216806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14152216806000 in words is "fourteen trillion, one hundred fifty-two billion, two hundred sixteen million, eight hundred six thousand".