86348871936 has 378 divisors, whose sum is σ = 274689430722. Its totient is φ = 27072921600.

The previous prime is 86348871893. The next prime is 86348871937. The reversal of 86348871936 is 63917884368.

86348871936 is a `hidden beast` number, since 8 + 63 + 488 + 7 + 1 + 93 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 65404993536 + 20943878400 = 255744^2 + 144720^2 .

It is a super-2 number, since 2×86348871936² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86348871937) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 53933536 + ... + 53935136.

Almost surely, 2^86348871936 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 86348871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137344715361).

86348871936 is an abundant number, since it is smaller than the sum of its proper divisors (188340558786).

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

86348871936 is an equidigital number, since it uses as much as digits as its factorization.

86348871936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1623 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 86348871936 in words is "eighty-six billion, three hundred forty-eight million, eight hundred seventy-one thousand, nine hundred thirty-six".