14302116864 has 924 divisors, whose sum is σ = 55093023504. Its totient is φ = 3678732288.

The previous prime is 14302116859. The next prime is 14302116889. The reversal of 14302116864 is 46861120341.

14302116864 is a `hidden beast` number, since 1 + 430 + 2 + 1 + 168 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 621831157 + ... + 621831179.

Almost surely, 2^14302116864 is an apocalyptic number.

14302116864 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 14302116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27546511752).

14302116864 is an abundant number, since it is smaller than the sum of its proper divisors (40790906640).

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

14302116864 is an equidigital number, since it uses as much as digits as its factorization.

14302116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14302116864 in words is "fourteen billion, three hundred two million, one hundred sixteen thousand, eight hundred sixty-four".