86905540629468 has 108 divisors (see below), whose sum is σ = 241646110320160. Its totient is φ = 26315165036160.

The previous prime is 86905540629451. The next prime is 86905540629473. The reversal of 86905540629468 is 86492604550968.

86905540629468 is a `hidden beast` number, since 8 + 6 + 9 + 0 + 554 + 0 + 6 + 2 + 9 + 4 + 68 = 666.

It is a super-2 number, since 2×86905540629468² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86905540629396 and 86905540629405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1736833 + ... + 13297656.

Almost surely, 2^{86905540629468} 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 86905540629468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120823055160080).

86905540629468 is an abundant number, since it is smaller than the sum of its proper divisors (154740569690692).

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

86905540629468 is a wasteful number, since it uses less digits than its factorization.

86905540629468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15035848 (or 15035832 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 86905540629468 in words is "eighty-six trillion, nine hundred five billion, five hundred forty million, six hundred twenty-nine thousand, four hundred sixty-eight".