82977233145856 has 117 divisors (see below), whose sum is σ = 193035001152801. Its totient is φ = 35559922384896.

The previous prime is 82977233145853. The next prime is 82977233145893. The reversal of 82977233145856 is 65854133277928.

The square root of 82977233145856 is 9109184.

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., 80241464217600 + 2735768928256 = 8957760^2 + 1654016^2 .

It is a super-2 number, since 2×82977233145856² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82977233145853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4080904266 + ... + 4080924598.

Almost surely, 2^{82977233145856} is an apocalyptic number.

82977233145856 is the 9109184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82977233145856

82977233145856 is an abundant number, since it is smaller than the sum of its proper divisors (110057768006945).

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

82977233145856 is an frugal number, since it uses more digits than its factorization.

82977233145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40704 (or 20342 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 70.

The spelling of 82977233145856 in words is "eighty-two trillion, nine hundred seventy-seven billion, two hundred thirty-three million, one hundred forty-five thousand, eight hundred fifty-six".