86973082276096 has 243 divisors, whose sum is σ = 182514233480943. Its totient is φ = 41362391347200.

The previous prime is 86973082276081. The next prime is 86973082276103. The reversal of 86973082276096 is 69067228037968.

The square root of 86973082276096 is 9325936.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28579031716096 + 58394050560000 = 5345936^2 + 7641600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 437050664605 + ... + 437050664803.

Almost surely, 2^{86973082276096} is an apocalyptic number.

86973082276096 is the 9325936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86973082276096

86973082276096 is an abundant number, since it is smaller than the sum of its proper divisors (95541151204847).

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

86973082276096 is an frugal number, since it uses more digits than its factorization.

86973082276096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 73.

The spelling of 86973082276096 in words is "eighty-six trillion, nine hundred seventy-three billion, eighty-two million, two hundred seventy-six thousand, ninety-six".