864138189096 has 192 divisors, whose sum is σ = 2882466787200. Its totient is φ = 227745851904.

The previous prime is 864138189091. The next prime is 864138189113. The reversal of 864138189096 is 690981831468.

864138189096 is a `hidden beast` number, since 86 + 4 + 1 + 381 + 8 + 90 + 96 = 666.

It is a super-2 number, since 2×864138189096² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (864138189091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9514170 + ... + 9604566.

It is an arithmetic number, because the mean of its divisors is an integer number (15012847850).

Almost surely, 2^864138189096 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 864138189096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441233393600).

864138189096 is an abundant number, since it is smaller than the sum of its proper divisors (2018328598104).

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

864138189096 is a wasteful number, since it uses less digits than its factorization.

864138189096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91888 (or 91881 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 864138189096 in words is "eight hundred sixty-four billion, one hundred thirty-eight million, one hundred eighty-nine thousand, ninety-six".