14297618664 has 384 divisors, whose sum is σ = 49272624000. Its totient is φ = 3816916992.

The previous prime is 14297618659. The next prime is 14297618729. The reversal of 14297618664 is 46681679241.

14297618664 is a `hidden beast` number, since 14 + 2 + 9 + 7 + 618 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×14297618664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14297618664.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41203339 + ... + 41203685.

It is an arithmetic number, because the mean of its divisors is an integer number (128314125).

Almost surely, 2^14297618664 is an apocalyptic number.

14297618664 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 14297618664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24636312000).

14297618664 is an abundant number, since it is smaller than the sum of its proper divisors (34975005336).

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

14297618664 is a wasteful number, since it uses less digits than its factorization.

14297618664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 14297618664 in words is "fourteen billion, two hundred ninety-seven million, six hundred eighteen thousand, six hundred sixty-four".