86911914894336 has 297 divisors, whose sum is σ = 291949764548481. Its totient is φ = 24830185734144.

The previous prime is 86911914894293. The next prime is 86911914894347. The reversal of 86911914894336 is 63349841911968.

It is a happy number.

The square root of 86911914894336 is 9322656.

It is a perfect power (a square), and thus also a powerful number.

86911914894336 is a `hidden beast` number, since 8 + 6 + 9 + 11 + 91 + 489 + 43 + 3 + 6 = 666.

86911914894336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40370266137600 + 46541648756736 = 6353760^2 + 6822144^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6264817896 + ... + 6264831768.

Almost surely, 2^{86911914894336} is an apocalyptic number.

86911914894336 is the 9322656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86911914894336

86911914894336 is an abundant number, since it is smaller than the sum of its proper divisors (205037849654145).

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

86911914894336 is an frugal number, since it uses more digits than its factorization.

86911914894336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27786 (or 13885 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 86911914894336 in words is "eighty-six trillion, nine hundred eleven billion, nine hundred fourteen million, eight hundred ninety-four thousand, three hundred thirty-six".