14864548464 has 200 divisors, whose sum is σ = 45506531840. Its totient is φ = 4671292032.

The previous prime is 14864548463. The next prime is 14864548499. The reversal of 14864548464 is 46484546841.

14864548464 is a `hidden beast` number, since 1 + 48 + 64 + 5 + 484 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14864548464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14864548463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5489799 + ... + 5492505.

Almost surely, 2^14864548464 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 14864548464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22753265920).

14864548464 is an abundant number, since it is smaller than the sum of its proper divisors (30641983376).

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

14864548464 is a wasteful number, since it uses less digits than its factorization.

14864548464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2954 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 14864548464 in words is "fourteen billion, eight hundred sixty-four million, five hundred forty-eight thousand, four hundred sixty-four".