86910092241336 has 576 divisors, whose sum is σ = 307108903308480. Its totient is φ = 21987706245120.

The previous prime is 86910092241331. The next prime is 86910092241377. The reversal of 86910092241336 is 63314229001968.

86910092241336 is a `hidden beast` number, since 8 + 6 + 9 + 100 + 92 + 2 + 413 + 36 = 666.

86910092241336 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86910092241331) 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, 120124060 + ... + 120845396.

It is an arithmetic number, because the mean of its divisors is an integer number (533175179355).

Almost surely, 2^{86910092241336} 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 86910092241336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153554451654240).

86910092241336 is an abundant number, since it is smaller than the sum of its proper divisors (220198811067144).

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

86910092241336 is a wasteful number, since it uses less digits than its factorization.

86910092241336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721484 (or 721470 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 86910092241336 in words is "eighty-six trillion, nine hundred ten billion, ninety-two million, two hundred forty-one thousand, three hundred thirty-six".