864994714272 has 288 divisors, whose sum is σ = 2817496700928. Its totient is φ = 249368813568.

The previous prime is 864994714271. The next prime is 864994714291. The reversal of 864994714272 is 272417499468.

864994714272 is a `hidden beast` number, since 8 + 6 + 4 + 99 + 471 + 4 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (864994714271) 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 47 ways as a sum of consecutive naturals, for example, 14163033 + ... + 14223975.

It is an arithmetic number, because the mean of its divisors is an integer number (9782974656).

Almost surely, 2^864994714272 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 864994714272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408748350464).

864994714272 is an abundant number, since it is smaller than the sum of its proper divisors (1952501986656).

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

864994714272 is a wasteful number, since it uses less digits than its factorization.

864994714272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61212 (or 61201 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 864994714272 in words is "eight hundred sixty-four billion, nine hundred ninety-four million, seven hundred fourteen thousand, two hundred seventy-two".