86131433413168 has 120 divisors (see below), whose sum is σ = 198326702559888. Its totient is φ = 35995080000000.

The previous prime is 86131433413153. The next prime is 86131433413177.

86131433413168 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500083 + ... + 13134418.

Almost surely, 2^{86131433413168} is an apocalyptic number.

86131433413168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86131433413168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99163351279944).

86131433413168 is an abundant number, since it is smaller than the sum of its proper divisors (112195269146720).

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

86131433413168 is a wasteful number, since it uses less digits than its factorization.

86131433413168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634795 (or 13634778 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The spelling of 86131433413168 in words is "eighty-six trillion, one hundred thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, one hundred sixty-eight".