14182147656 has 256 divisors, whose sum is σ = 43338240000. Its totient is φ = 4280967936.

The previous prime is 14182147627. The next prime is 14182147663. The reversal of 14182147656 is 65674128141.

It is a super-2 number, since 2×14182147656² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8958241 + ... + 8959823.

It is an arithmetic number, because the mean of its divisors is an integer number (169290000).

Almost surely, 2^14182147656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14182147656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669120000).

14182147656 is an abundant number, since it is smaller than the sum of its proper divisors (29156092344).

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

14182147656 is a wasteful number, since it uses less digits than its factorization.

14182147656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 14182147656 in words is "fourteen billion, one hundred eighty-two million, one hundred forty-seven thousand, six hundred fifty-six".