212761064448 has 308 divisors, whose sum is σ = 640738306980. Its totient is φ = 70580699136.

The previous prime is 212761064419. The next prime is 212761064531. The reversal of 212761064448 is 844460167212.

212761064448 is a `hidden beast` number, since 2 + 1 + 27 + 610 + 6 + 4 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106662334464 + 106098729984 = 326592^2 + 325728^2 .

It is a super-3 number, since 3×212761064448³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 191848918 + ... + 191850026.

Almost surely, 2^212761064448 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 212761064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320369153490).

212761064448 is an abundant number, since it is smaller than the sum of its proper divisors (427977242532).

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

212761064448 is an equidigital number, since it uses as much as digits as its factorization.

212761064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 212761064448 in words is "two hundred twelve billion, seven hundred sixty-one million, sixty-four thousand, four hundred forty-eight".