864123419647488 has 640 divisors, whose sum is σ = 3091201494441984. Its totient is φ = 207162431078400.

The previous prime is 864123419647457. The next prime is 864123419647511. The reversal of 864123419647488 is 884746914321468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21419393845 + ... + 21419434187.

Almost surely, 2^{864123419647488} is an apocalyptic number.

864123419647488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864123419647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545600747220992).

864123419647488 is an abundant number, since it is smaller than the sum of its proper divisors (2227078074794496).

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

864123419647488 is a wasteful number, since it uses less digits than its factorization.

864123419647488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54326 (or 54310 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 75.

The spelling of 864123419647488 in words is "eight hundred sixty-four trillion, one hundred twenty-three billion, four hundred nineteen million, six hundred forty-seven thousand, four hundred eighty-eight".