86230146240 has 448 divisors, whose sum is σ = 352438533120. Its totient is φ = 19438755840.

The previous prime is 86230146229. The next prime is 86230146257. The reversal of 86230146240 is 4264103268.

86230146240 is a `hidden beast` number, since 8 + 6 + 23 + 0 + 1 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×86230146240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86230146195 and 86230146204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4405275 + ... + 4424805.

Almost surely, 2^86230146240 is an apocalyptic number.

86230146240 is a gapful number since it is divisible by the number (80) 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 86230146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176219266560).

86230146240 is an abundant number, since it is smaller than the sum of its proper divisors (266208386880).

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

86230146240 is a wasteful number, since it uses less digits than its factorization.

86230146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19637 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 86230146240 in words is "eighty-six billion, two hundred thirty million, one hundred forty-six thousand, two hundred forty".