86006443247151 has 64 divisors (see below), whose sum is σ = 135852773253120. Its totient is φ = 47379197819520.

The previous prime is 86006443247111. The next prime is 86006443247183. The reversal of 86006443247151 is 15174234460068.

It is not a de Polignac number, because 86006443247151 - 2¹⁷ = 86006443116079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86006443247094 and 86006443247103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86006443247111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76715905 + ... + 77828933.

It is an arithmetic number, because the mean of its divisors is an integer number (2122699582080).

Almost surely, 2^{86006443247151} is an apocalyptic number.

86006443247151 is a deficient number, since it is larger than the sum of its proper divisors (49846330005969).

86006443247151 is a wasteful number, since it uses less digits than its factorization.

86006443247151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114196.

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 86006443247151 in words is "eighty-six trillion, six billion, four hundred forty-three million, two hundred forty-seven thousand, one hundred fifty-one".