14564346456 has 128 divisors (see below), whose sum is σ = 40111718400. Its totient is φ = 4370256000.

The previous prime is 14564346343. The next prime is 14564346457. The reversal of 14564346456 is 65464346541.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14564346457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14696121 + ... + 14697111.

It is an arithmetic number, because the mean of its divisors is an integer number (313372800).

Almost surely, 2^14564346456 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 14564346456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055859200).

14564346456 is an abundant number, since it is smaller than the sum of its proper divisors (25547371944).

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

14564346456 is a wasteful number, since it uses less digits than its factorization.

14564346456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1497 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 14564346456 in words is "fourteen billion, five hundred sixty-four million, three hundred forty-six thousand, four hundred fifty-six".