212793999616 has 81 divisors (see below), whose sum is σ = 467059610269. Its totient is φ = 96687641600.

The previous prime is 212793999599. The next prime is 212793999631. The reversal of 212793999616 is 616999397212.

It is a happy number.

The square root of 212793999616 is 461296.

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., 175313039616 + 37480960000 = 418704^2 + 193600^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81186786 + ... + 81189406.

Almost surely, 2^212793999616 is an apocalyptic number.

212793999616 is the 461296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212793999616

212793999616 is an abundant number, since it is smaller than the sum of its proper divisors (254265610653).

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

212793999616 is an frugal number, since it uses more digits than its factorization.

212793999616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 2634 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 64.

Multiplying 212793999616 by its sum of digits (64), we get a square (13618815975424 = 3690368²).

212793999616 divided by its sum of digits (64) gives a square (3324906244 = 57662²).

The spelling of 212793999616 in words is "two hundred twelve billion, seven hundred ninety-three million, nine hundred ninety-nine thousand, six hundred sixteen".