86231187379008 has 448 divisors, whose sum is σ = 296100959232000. Its totient is φ = 24598330283520.

The previous prime is 86231187379003. The next prime is 86231187379019. The reversal of 86231187379008 is 80097378113268.

86231187379008 is a `hidden beast` number, since 86 + 2 + 3 + 1 + 187 + 379 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86231187379003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373880941 + ... + 374111507.

Almost surely, 2^{86231187379008} 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 86231187379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148050479616000).

86231187379008 is an abundant number, since it is smaller than the sum of its proper divisors (209869771852992).

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

86231187379008 is a wasteful number, since it uses less digits than its factorization.

86231187379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231240 (or 231210 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 86231187379008 in words is "eighty-six trillion, two hundred thirty-one billion, one hundred eighty-seven million, three hundred seventy-nine thousand, eight".