86933768573584 has 15 divisors (see below), whose sum is σ = 168434248871017. Its totient is φ = 43466865639136.

The previous prime is 86933768573581. The next prime is 86933768573593. The reversal of 86933768573584 is 48537586733968.

It is a happy number.

The square root of 86933768573584 is 9323828.

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

It can be written as a sum of positive squares in only one way, i.e., 8169421568400 + 78764347005184 = 2858220^2 + 8874928^2 .

It is a super-2 number, since 2×86933768573584² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86933768573498 and 86933768573507.

It is not an unprimeable number, because it can be changed into a prime (86933768573581) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 36129834 + ... + 38460790.

Almost surely, 2^{86933768573584} is an apocalyptic number.

86933768573584 is the 9323828-th square number.

It is an amenable number.

86933768573584 is a deficient number, since it is larger than the sum of its proper divisors (81500480297433).

86933768573584 is an frugal number, since it uses more digits than its factorization.

86933768573584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661922 (or 2330959 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 82.

The spelling of 86933768573584 in words is "eighty-six trillion, nine hundred thirty-three billion, seven hundred sixty-eight million, five hundred seventy-three thousand, five hundred eighty-four".