864923862900 has 144 divisors (see below), whose sum is σ = 2514889036800. Its totient is φ = 229506915840.

The previous prime is 864923862799. The next prime is 864923862917. The reversal of 864923862900 is 9268329468.

It is a super-2 number, since 2×864923862900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197785114 + ... + 197789486.

It is an arithmetic number, because the mean of its divisors is an integer number (17464507200).

Almost surely, 2^864923862900 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 864923862900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257444518400).

864923862900 is an abundant number, since it is smaller than the sum of its proper divisors (1649965173900).

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

864923862900 is a wasteful number, since it uses less digits than its factorization.

864923862900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 864923862900 in words is "eight hundred sixty-four billion, nine hundred twenty-three million, eight hundred sixty-two thousand, nine hundred".