14618145696 has 576 divisors, whose sum is σ = 51826231296. Its totient is φ = 3559987200.

The previous prime is 14618145677. The next prime is 14618145721. The reversal of 14618145696 is 69654181641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84497866 + ... + 84498038.

It is an arithmetic number, because the mean of its divisors is an integer number (89976096).

Almost surely, 2^14618145696 is an apocalyptic number.

14618145696 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 14618145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25913115648).

14618145696 is an abundant number, since it is smaller than the sum of its proper divisors (37208085600).

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

14618145696 is a wasteful number, since it uses less digits than its factorization.

14618145696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 14618145696 in words is "fourteen billion, six hundred eighteen million, one hundred forty-five thousand, six hundred ninety-six".