14864402270718 has 864 divisors, whose sum is σ = 47316593167200. Its totient is φ = 3440636559360.

The previous prime is 14864402270713. The next prime is 14864402270741. The reversal of 14864402270718 is 81707220446841.

It is a happy number.

14864402270718 is a `hidden beast` number, since 1 + 48 + 6 + 440 + 22 + 70 + 71 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14864402270713) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1569128830 + ... + 1569138302.

It is an arithmetic number, because the mean of its divisors is an integer number (54764575425).

Almost surely, 2^{14864402270718} is an apocalyptic number.

14864402270718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14864402270718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658296583600).

14864402270718 is an abundant number, since it is smaller than the sum of its proper divisors (32452190896482).

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

14864402270718 is a wasteful number, since it uses less digits than its factorization.

14864402270718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 14864402270718 in words is "fourteen trillion, eight hundred sixty-four billion, four hundred two million, two hundred seventy thousand, seven hundred eighteen".