864001100468 has 96 divisors (see below), whose sum is σ = 1689587786880. Its totient is φ = 383258304000.

The previous prime is 864001100467. The next prime is 864001100477.

864001100468 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864001100467) 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 31 ways as a sum of consecutive naturals, for example, 417592538 + ... + 417594606.

It is an arithmetic number, because the mean of its divisors is an integer number (17599872780).

Almost surely, 2^864001100468 is an apocalyptic number.

It is an amenable number.

864001100468 is a deficient number, since it is larger than the sum of its proper divisors (825586686412).

864001100468 is a wasteful number, since it uses less digits than its factorization.

864001100468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

It can be divided in two parts, 864001 and 100468, that added together give a palindrome (964469).

The spelling of 864001100468 in words is "eight hundred sixty-four billion, one million, one hundred thousand, four hundred sixty-eight".