82930236412816 has 135 divisors (see below), whose sum is σ = 176477489165619. Its totient is φ = 37735435685376.

The previous prime is 82930236412783. The next prime is 82930236412897. The reversal of 82930236412816 is 61821463203928.

It is a happy number.

The square root of 82930236412816 is 9106604.

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 8342831452816 + 74587404960000 = 2888396^2 + 8636400^2 .

It is a super-2 number, since 2×82930236412816² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34568667585 + ... + 34568669983.

Almost surely, 2^{82930236412816} is an apocalyptic number.

82930236412816 is the 9106604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82930236412816

82930236412816 is an abundant number, since it is smaller than the sum of its proper divisors (93547252752803).

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

82930236412816 is an frugal number, since it uses more digits than its factorization.

82930236412816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 82930236412816 in words is "eighty-two trillion, nine hundred thirty billion, two hundred thirty-six million, four hundred twelve thousand, eight hundred sixteen".