14327374656 has 224 divisors, whose sum is σ = 44890488832. Its totient is φ = 3946475520.

The previous prime is 14327374651. The next prime is 14327374693. The reversal of 14327374656 is 65647372341.

14327374656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×14327374656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14327374651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15290220 + ... + 15291156.

It is an arithmetic number, because the mean of its divisors is an integer number (200403968).

Almost surely, 2^14327374656 is an apocalyptic number.

14327374656 is a gapful number since it is divisible by the number (16) 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 14327374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445244416).

14327374656 is an abundant number, since it is smaller than the sum of its proper divisors (30563114176).

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

14327374656 is a wasteful number, since it uses less digits than its factorization.

14327374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1347 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The spelling of 14327374656 in words is "fourteen billion, three hundred twenty-seven million, three hundred seventy-four thousand, six hundred fifty-six".