86341555514368 has 88 divisors (see below), whose sum is σ = 215188105883904. Its totient is φ = 33639567052800.

The previous prime is 86341555514323. The next prime is 86341555514393.

86341555514368 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547440148 + ... + 547597843.

Almost surely, 2^{86341555514368} is an apocalyptic number.

86341555514368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86341555514368 is an abundant number, since it is smaller than the sum of its proper divisors (128846550369536).

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

86341555514368 is a wasteful number, since it uses less digits than its factorization.

86341555514368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095038029 (or 1095038011 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 64.

The spelling of 86341555514368 in words is "eighty-six trillion, three hundred forty-one billion, five hundred fifty-five million, five hundred fourteen thousand, three hundred sixty-eight".