869405586731136 has 1024 divisors, whose sum is σ = 3261730177843200. Its totient is φ = 221777491968000.

The previous prime is 869405586731081. The next prime is 869405586731153. The reversal of 869405586731136 is 631137685504968.

869405586731136 is a `hidden beast` number, since 8 + 6 + 9 + 4 + 0 + 5 + 586 + 7 + 3 + 1 + 1 + 36 = 666.

It is a super-3 number, since 3×869405586731136³ (a number of 46 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 18826021966 + ... + 18826068146.

It is an arithmetic number, because the mean of its divisors is an integer number (3185283376800).

Almost surely, 2^{869405586731136} 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 869405586731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630865088921600).

869405586731136 is an abundant number, since it is smaller than the sum of its proper divisors (2392324591112064).

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

869405586731136 is a wasteful number, since it uses less digits than its factorization.

869405586731136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48186 (or 48168 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 869405586731136 in words is "eight hundred sixty-nine trillion, four hundred five billion, five hundred eighty-six million, seven hundred thirty-one thousand, one hundred thirty-six".