14201764668 has 216 divisors, whose sum is σ = 46639927152. Its totient is φ = 3745357056.

The previous prime is 14201764651. The next prime is 14201764673. The reversal of 14201764668 is 86646710241.

14201764668 is a `hidden beast` number, since 14 + 2 + 0 + 176 + 466 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 607696 + ... + 630632.

Almost surely, 2^14201764668 is an apocalyptic number.

14201764668 is a gapful number since it is divisible by the number (18) 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 14201764668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23319963576).

14201764668 is an abundant number, since it is smaller than the sum of its proper divisors (32438162484).

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

14201764668 is a wasteful number, since it uses less digits than its factorization.

14201764668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22983 (or 22962 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14201764668 in words is "fourteen billion, two hundred one million, seven hundred sixty-four thousand, six hundred sixty-eight".