14993496864 has 288 divisors, whose sum is σ = 45695954304. Its totient is φ = 4653158400.

The previous prime is 14993496827. The next prime is 14993496877. The reversal of 14993496864 is 46869439941.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48838599 + ... + 48838905.

It is an arithmetic number, because the mean of its divisors is an integer number (158666508).

Almost surely, 2^14993496864 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 14993496864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22847977152).

14993496864 is an abundant number, since it is smaller than the sum of its proper divisors (30702457440).

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

14993496864 is a wasteful number, since it uses less digits than its factorization.

14993496864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 14993496864 in words is "fourteen billion, nine hundred ninety-three million, four hundred ninety-six thousand, eight hundred sixty-four".