212965226496 has 432 divisors, whose sum is σ = 693976996440. Its totient is φ = 62396006400.

The previous prime is 212965226491. The next prime is 212965226531. The reversal of 212965226496 is 694622569212.

212965226496 is a `hidden beast` number, since 2 + 1 + 29 + 6 + 522 + 6 + 4 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212965226491) 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 35 ways as a sum of consecutive naturals, for example, 194844126 + ... + 194845218.

Almost surely, 2^212965226496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212965226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346988498220).

212965226496 is an abundant number, since it is smaller than the sum of its proper divisors (481011769944).

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

212965226496 is a wasteful number, since it uses less digits than its factorization.

212965226496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1140 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 212965226496 in words is "two hundred twelve billion, nine hundred sixty-five million, two hundred twenty-six thousand, four hundred ninety-six".