86574488447568 has 160 divisors (see below), whose sum is σ = 258339954327552. Its totient is φ = 24690961561600.

The previous prime is 86574488447497. The next prime is 86574488447627.

86574488447568 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86574488447568² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709967563 + ... + 710089493.

Almost surely, 2^{86574488447568} is an apocalyptic number.

86574488447568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86574488447568 is an abundant number, since it is smaller than the sum of its proper divisors (171765465879984).

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

86574488447568 is a wasteful number, since it uses less digits than its factorization.

86574488447568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201073 (or 201067 counting only the distinct ones).

The product of its digits is 46242201600, while the sum is 84.

The spelling of 86574488447568 in words is "eighty-six trillion, five hundred seventy-four billion, four hundred eighty-eight million, four hundred forty-seven thousand, five hundred sixty-eight".