14292093816 has 1024 divisors, whose sum is σ = 58060800000. Its totient is φ = 3200601600.

The previous prime is 14292093769. The next prime is 14292093869. The reversal of 14292093816 is 61839029241.

14292093816 is a `hidden beast` number, since 1 + 429 + 209 + 3 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 201297061 + ... + 201297131.

It is an arithmetic number, because the mean of its divisors is an integer number (56700000).

Almost surely, 2^14292093816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14292093816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400000).

14292093816 is an abundant number, since it is smaller than the sum of its proper divisors (43768706184).

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

14292093816 is a wasteful number, since it uses less digits than its factorization.

14292093816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14292093816 in words is "fourteen billion, two hundred ninety-two million, ninety-three thousand, eight hundred sixteen".