86161713683136 has 1008 divisors, whose sum is σ = 307905335562240. Its totient is φ = 21116016230400.

The previous prime is 86161713683081. The next prime is 86161713683189. The reversal of 86161713683136 is 63138631716168.

It is a super-2 number, since 2×86161713683136² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86161713683136.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2135285361 + ... + 2135325711.

Almost surely, 2^{86161713683136} 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 86161713683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153952667781120).

86161713683136 is an abundant number, since it is smaller than the sum of its proper divisors (221743621879104).

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

86161713683136 is a wasteful number, since it uses less digits than its factorization.

86161713683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40502 (or 40472 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The spelling of 86161713683136 in words is "eighty-six trillion, one hundred sixty-one billion, seven hundred thirteen million, six hundred eighty-three thousand, one hundred thirty-six".