86342362128 has 400 divisors, whose sum is σ = 291159221760. Its totient is φ = 24443596800.

The previous prime is 86342362123. The next prime is 86342362133. The reversal of 86342362128 is 82126324368.

86342362128 is a `hidden beast` number, since 8 + 6 + 3 + 423 + 6 + 212 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86342362123) and next prime (86342362133).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (86342362123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12812776 + ... + 12819512.

Almost surely, 2^86342362128 is an apocalyptic number.

86342362128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86342362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145579610880).

86342362128 is an abundant number, since it is smaller than the sum of its proper divisors (204816859632).

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

86342362128 is a wasteful number, since it uses less digits than its factorization.

86342362128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6813 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 86342362128 in words is "eighty-six billion, three hundred forty-two million, three hundred sixty-two thousand, one hundred twenty-eight".