14327294688 has 384 divisors, whose sum is σ = 50288394240. Its totient is φ = 3879912960.

The previous prime is 14327294687. The next prime is 14327294699. The reversal of 14327294688 is 88649272341.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14327294687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17665803 + ... + 17666613.

It is an arithmetic number, because the mean of its divisors is an integer number (130959360).

Almost surely, 2^14327294688 is an apocalyptic number.

14327294688 is a gapful number since it is divisible by the number (18) 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 14327294688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25144197120).

14327294688 is an abundant number, since it is smaller than the sum of its proper divisors (35961099552).

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

14327294688 is a wasteful number, since it uses less digits than its factorization.

14327294688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 973 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 14327294688 in words is "fourteen billion, three hundred twenty-seven million, two hundred ninety-four thousand, six hundred eighty-eight".