14802093430272 has 480 divisors, whose sum is σ = 43867517522400. Its totient is φ = 4803567943680.

The previous prime is 14802093430247. The next prime is 14802093430283. The reversal of 14802093430272 is 27203439020841.

14802093430272 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 209 + 3 + 430 + 2 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10718387022 + ... + 10718388402.

It is an arithmetic number, because the mean of its divisors is an integer number (91390661505).

Almost surely, 2^{14802093430272} is an apocalyptic number.

14802093430272 is a gapful number since it is divisible by the number (12) 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 14802093430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21933758761200).

14802093430272 is an abundant number, since it is smaller than the sum of its proper divisors (29065424092128).

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

14802093430272 is a wasteful number, since it uses less digits than its factorization.

14802093430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14802093430272 in words is "fourteen trillion, eight hundred two billion, ninety-three million, four hundred thirty thousand, two hundred seventy-two".