14158416384 has 280 divisors, whose sum is σ = 48482507040. Its totient is φ = 4044515328.

The previous prime is 14158416373. The next prime is 14158416401. The reversal of 14158416384 is 48361485141.

14158416384 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 8 + 4 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×14158416384³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2610027 + ... + 2615445.

Almost surely, 2^14158416384 is an apocalyptic number.

14158416384 is a gapful number since it is divisible by the number (14) 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 14158416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241253520).

14158416384 is an abundant number, since it is smaller than the sum of its proper divisors (34324090656).

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

14158416384 is an frugal number, since it uses more digits than its factorization.

14158416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5431 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 14158416384 in words is "fourteen billion, one hundred fifty-eight million, four hundred sixteen thousand, three hundred eighty-four".