14496993916416 has 800 divisors, whose sum is σ = 47756075558400. Its totient is φ = 4341919334400.

The previous prime is 14496993916399. The next prime is 14496993916439. The reversal of 14496993916416 is 61461939969441.

14496993916416 is a `hidden beast` number, since 1 + 4 + 4 + 96 + 99 + 39 + 1 + 6 + 416 = 666.

It is a super-2 number, since 2×14496993916416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18420576375 + ... + 18420577161.

It is an arithmetic number, because the mean of its divisors is an integer number (59695094448).

Almost surely, 2^{14496993916416} is an apocalyptic number.

14496993916416 is a gapful number since it is divisible by the number (16) 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 14496993916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23878037779200).

14496993916416 is an abundant number, since it is smaller than the sum of its proper divisors (33259081641984).

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

14496993916416 is a wasteful number, since it uses less digits than its factorization.

14496993916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1223 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 14496993916416 in words is "fourteen trillion, four hundred ninety-six billion, nine hundred ninety-three million, nine hundred sixteen thousand, four hundred sixteen".