14867972064 has 384 divisors, whose sum is σ = 52280847360. Its totient is φ = 4055040000.

The previous prime is 14867972059. The next prime is 14867972069. The reversal of 14867972064 is 46027976841.

It is an interprime number because it is at equal distance from previous prime (14867972059) and next prime (14867972069).

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 14867972064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14867972069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3714064 + ... + 3718064.

It is an arithmetic number, because the mean of its divisors is an integer number (136148040).

Almost surely, 2^14867972064 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 14867972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26140423680).

14867972064 is an abundant number, since it is smaller than the sum of its proper divisors (37412875296).

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

14867972064 is a wasteful number, since it uses less digits than its factorization.

14867972064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 14867972064 in words is "fourteen billion, eight hundred sixty-seven million, nine hundred seventy-two thousand, sixty-four".