86382146952 has 32 divisors (see below), whose sum is σ = 239950408800. Its totient is φ = 28794048912.

The previous prime is 86382146951. The next prime is 86382146993. The reversal of 86382146952 is 25964128368.

86382146952 is a `hidden beast` number, since 86 + 38 + 21 + 469 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86382146951) 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 7 ways as a sum of consecutive naturals, for example, 199958458 + ... + 199958889.

It is an arithmetic number, because the mean of its divisors is an integer number (7498450275).

Almost surely, 2^86382146952 is an apocalyptic number.

It is an amenable number.

86382146952 is an abundant number, since it is smaller than the sum of its proper divisors (153568261848).

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

86382146952 is a wasteful number, since it uses less digits than its factorization.

86382146952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399917362 (or 399917352 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 86382146952 in words is "eighty-six billion, three hundred eighty-two million, one hundred forty-six thousand, nine hundred fifty-two".