14457117376 has 112 divisors (see below), whose sum is σ = 31934615328. Its totient is φ = 6451200000.

The previous prime is 14457117361. The next prime is 14457117391. The reversal of 14457117376 is 67371175441.

14457117376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14457117361) and next prime (14457117391).

It is a super-2 number, since 2×14457117376² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3611376 + ... + 3615376.

It is an arithmetic number, because the mean of its divisors is an integer number (285130494).

Almost surely, 2^14457117376 is an apocalyptic number.

14457117376 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 14457117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967307664).

14457117376 is an abundant number, since it is smaller than the sum of its proper divisors (17477497952).

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

14457117376 is a wasteful number, since it uses less digits than its factorization.

14457117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4160 counting only the distinct ones).

The product of its digits is 493920, while the sum is 46.

The spelling of 14457117376 in words is "fourteen billion, four hundred fifty-seven million, one hundred seventeen thousand, three hundred seventy-six".