86415146053236 has 432 divisors, whose sum is σ = 303053975812224. Its totient is φ = 20050555968000.

The previous prime is 86415146053199. The next prime is 86415146053237. The reversal of 86415146053236 is 63235064151468.

86415146053236 is a `hidden beast` number, since 8 + 6 + 4 + 1 + 5 + 1 + 4 + 605 + 3 + 23 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86415146053237) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33382926 + ... + 35878266.

Almost surely, 2^{86415146053236} 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 86415146053236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151526987906112).

86415146053236 is an abundant number, since it is smaller than the sum of its proper divisors (216638829758988).

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

86415146053236 is a wasteful number, since it uses less digits than its factorization.

86415146053236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495444 (or 2495408 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 86415146053236 in words is "eighty-six trillion, four hundred fifteen billion, one hundred forty-six million, fifty-three thousand, two hundred thirty-six".