86146135857936 has 1620 divisors, whose sum is σ = 325495485145740. Its totient is φ = 21999106483200.

The previous prime is 86146135857919. The next prime is 86146135857941. The reversal of 86146135857936 is 63975853164168.

86146135857936 is a `hidden beast` number, since 8 + 6 + 1 + 4 + 6 + 1 + 3 + 585 + 7 + 9 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3226535617536 + 82919600240400 = 1796256^2 + 9106020^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 37966563810 + ... + 37966566078.

Almost surely, 2^{86146135857936} 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 86146135857936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162747742572870).

86146135857936 is an abundant number, since it is smaller than the sum of its proper divisors (239349349287804).

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

86146135857936 is a wasteful number, since it uses less digits than its factorization.

86146135857936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2353 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 86146135857936 in words is "eighty-six trillion, one hundred forty-six billion, one hundred thirty-five million, eight hundred fifty-seven thousand, nine hundred thirty-six".