14273086464 has 880 divisors, whose sum is σ = 55038032896. Its totient is φ = 3583180800.

The previous prime is 14273086393. The next prime is 14273086489. The reversal of 14273086464 is 46468037241.

14273086464 is a `hidden beast` number, since 1 + 42 + 73 + 0 + 86 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 233984994 + ... + 233985054.

Almost surely, 2^14273086464 is an apocalyptic number.

14273086464 is a gapful number since it is divisible by the number (14) 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 14273086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27519016448).

14273086464 is an abundant number, since it is smaller than the sum of its proper divisors (40764946432).

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

14273086464 is a wasteful number, since it uses less digits than its factorization.

14273086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14273086464 in words is "fourteen billion, two hundred seventy-three million, eighty-six thousand, four hundred sixty-four".