861608164224 has 128 divisors (see below), whose sum is σ = 2364612307200. Its totient is φ = 277799510016.

The previous prime is 861608164169. The next prime is 861608164231. The reversal of 861608164224 is 422461806168.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×861608164224⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1447432 + ... + 1954040.

It is an arithmetic number, because the mean of its divisors is an integer number (18473533650).

Almost surely, 2^861608164224 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 861608164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182306153600).

861608164224 is an abundant number, since it is smaller than the sum of its proper divisors (1503004142976).

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

861608164224 is a wasteful number, since it uses less digits than its factorization.

861608164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506772 (or 506760 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 861608164224 in words is "eight hundred sixty-one billion, six hundred eight million, one hundred sixty-four thousand, two hundred twenty-four".