861838322436 has 576 divisors, whose sum is σ = 2940061017600. Its totient is φ = 213771737088.

The previous prime is 861838322413. The next prime is 861838322459. The reversal of 861838322436 is 634223838168.

861838322436 is a `hidden beast` number, since 8 + 6 + 1 + 8 + 383 + 224 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (861838322413) and next prime (861838322459).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 627703846 + ... + 627705218.

It is an arithmetic number, because the mean of its divisors is an integer number (5104272600).

Almost surely, 2^861838322436 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 861838322436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470030508800).

861838322436 is an abundant number, since it is smaller than the sum of its proper divisors (2078222695164).

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

861838322436 is a wasteful number, since it uses less digits than its factorization.

861838322436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1415 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 861838322436 in words is "eight hundred sixty-one billion, eight hundred thirty-eight million, three hundred twenty-two thousand, four hundred thirty-six".