864593295484128 has 384 divisors, whose sum is σ = 2726014200053760. Its totient is φ = 234589823170560.

The previous prime is 864593295484117. The next prime is 864593295484153. The reversal of 864593295484128 is 821484592395468.

It is a super-2 number, since 2×864593295484128² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2986990033 + ... + 2987279471.

It is an arithmetic number, because the mean of its divisors is an integer number (7098995312640).

Almost surely, 2^{864593295484128} 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 864593295484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363007100026880).

864593295484128 is an abundant number, since it is smaller than the sum of its proper divisors (1861420904569632).

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

864593295484128 is a wasteful number, since it uses less digits than its factorization.

864593295484128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290870 (or 290862 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 78.

The spelling of 864593295484128 in words is "eight hundred sixty-four trillion, five hundred ninety-three billion, two hundred ninety-five million, four hundred eighty-four thousand, one hundred twenty-eight".