14117029056 has 448 divisors, whose sum is σ = 47314713600. Its totient is φ = 4094779392.

The previous prime is 14117029039. The next prime is 14117029097. The reversal of 14117029056 is 65092071141.

It is a super-2 number, since 2×14117029056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14117029056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45983655 + ... + 45983961.

It is an arithmetic number, because the mean of its divisors is an integer number (105613200).

Almost surely, 2^14117029056 is an apocalyptic number.

14117029056 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 14117029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23657356800).

14117029056 is an abundant number, since it is smaller than the sum of its proper divisors (33197684544).

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

14117029056 is a wasteful number, since it uses less digits than its factorization.

14117029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 14117029056 in words is "fourteen billion, one hundred seventeen million, twenty-nine thousand, fifty-six".