86480693776 has 45 divisors (see below), whose sum is σ = 172293997869. Its totient is φ = 42050515392.

The previous prime is 86480693737. The next prime is 86480693777. The reversal of 86480693776 is 67739608468.

It is a happy number.

The square root of 86480693776 is 294076.

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., 77384112400 + 9096581376 = 278180^2 + 95376^2 .

It is not an unprimeable number, because it can be changed into a prime (86480693777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43522255 + ... + 43524241.

Almost surely, 2^86480693776 is an apocalyptic number.

86480693776 is the 294076-th square number.

It is an amenable number.

86480693776 is a deficient number, since it is larger than the sum of its proper divisors (85813304093).

86480693776 is an frugal number, since it uses more digits than its factorization.

86480693776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

Multiplying 86480693776 by its sum of digits (64), we get a square (5534764401664 = 2352608²).

The spelling of 86480693776 in words is "eighty-six billion, four hundred eighty million, six hundred ninety-three thousand, seven hundred seventy-six".