14237814816 has 144 divisors (see below), whose sum is σ = 42004085760. Its totient is φ = 4571274240.

The previous prime is 14237814781. The next prime is 14237814841. The reversal of 14237814816 is 61841873241.

14237814816 is a `hidden beast` number, since 1 + 423 + 78 + 148 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14237814816² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925201 + ... + 940463.

It is an arithmetic number, because the mean of its divisors is an integer number (291695040).

Almost surely, 2^14237814816 is an apocalyptic number.

14237814816 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 14237814816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21002042880).

14237814816 is an abundant number, since it is smaller than the sum of its proper divisors (27766270944).

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

14237814816 is a wasteful number, since it uses less digits than its factorization.

14237814816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15399 (or 15388 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 14237814816 in words is "fourteen billion, two hundred thirty-seven million, eight hundred fourteen thousand, eight hundred sixteen".