14316892416 has 108 divisors (see below), whose sum is σ = 41335536060. Its totient is φ = 4765777920.

The previous prime is 14316892411. The next prime is 14316892439. The reversal of 14316892416 is 61429861341.

14316892416 is a `hidden beast` number, since 14 + 316 + 89 + 241 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11426754816 + 2890137600 = 106896^2 + 53760^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14316892411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1860096 + ... + 1867776.

It is an arithmetic number, because the mean of its divisors is an integer number (382736445).

Almost surely, 2^14316892416 is an apocalyptic number.

14316892416 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 14316892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667768030).

14316892416 is an abundant number, since it is smaller than the sum of its proper divisors (27018643644).

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

14316892416 is an equidigital number, since it uses as much as digits as its factorization.

14316892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512 (or 8495 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 14316892416 in words is "fourteen billion, three hundred sixteen million, eight hundred ninety-two thousand, four hundred sixteen".