14201416362816 has 280 divisors, whose sum is σ = 44320761325280. Its totient is φ = 4483882718208.

The previous prime is 14201416362667. The next prime is 14201416362841. The reversal of 14201416362816 is 61826361410241.

14201416362816 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 4 + 1 + 6 + 3 + 628 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 899556075 + ... + 899571861.

Almost surely, 2^{14201416362816} is an apocalyptic number.

14201416362816 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 14201416362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160380662640).

14201416362816 is an abundant number, since it is smaller than the sum of its proper divisors (30119344962464).

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

14201416362816 is a wasteful number, since it uses less digits than its factorization.

14201416362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24963 (or 24944 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14201416362816 in words is "fourteen trillion, two hundred one billion, four hundred sixteen million, three hundred sixty-two thousand, eight hundred sixteen".