820216412964 has 243 divisors, whose sum is σ = 2388408414483. Its totient is φ = 237180962304.

The previous prime is 820216412941. The next prime is 820216412993. The reversal of 820216412964 is 469214612028.

It is a happy number.

The square root of 820216412964 is 905658.

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 7405979364 + 812810433600 = 86058^2 + 901560^2 .

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 80 ways as a sum of consecutive naturals, for example, 1200902167 + ... + 1200902849.

Almost surely, 2^820216412964 is an apocalyptic number.

820216412964 is the 905658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820216412964

820216412964 is an abundant number, since it is smaller than the sum of its proper divisors (1568192001519).

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

820216412964 is a wasteful number, since it uses less digits than its factorization.

820216412964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 8202164 and 12964, that added together give a palindrome (8215128).

The spelling of 820216412964 in words is "eight hundred twenty billion, two hundred sixteen million, four hundred twelve thousand, nine hundred sixty-four".