861867611136 has 792 divisors, whose sum is σ = 3036617400960. Its totient is φ = 230183534592.

The previous prime is 861867611117. The next prime is 861867611147. The reversal of 861867611136 is 631116768168.

861867611136 is a `hidden beast` number, since 8 + 6 + 1 + 8 + 6 + 7 + 611 + 13 + 6 = 666.

It is a super-2 number, since 2×861867611136² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7907042250 + ... + 7907042358.

It is an arithmetic number, because the mean of its divisors is an integer number (3834112880).

Almost surely, 2^861867611136 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 861867611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518308700480).

861867611136 is an abundant number, since it is smaller than the sum of its proper divisors (2174749789824).

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

861867611136 is a wasteful number, since it uses less digits than its factorization.

861867611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 217 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 861867611136 in words is "eight hundred sixty-one billion, eight hundred sixty-seven million, six hundred eleven thousand, one hundred thirty-six".