212683052736 has 1008 divisors, whose sum is σ = 834224676480. Its totient is φ = 51036733440.

The previous prime is 212683052713. The next prime is 212683052761. The reversal of 212683052736 is 637250386212.

212683052736 is a `hidden beast` number, since 2 + 1 + 2 + 68 + 30 + 527 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×212683052736² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212683052691 and 212683052700.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 311395051 + ... + 311395733.

Almost surely, 2^212683052736 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 212683052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417112338240).

212683052736 is an abundant number, since it is smaller than the sum of its proper divisors (621541623744).

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

212683052736 is a wasteful number, since it uses less digits than its factorization.

212683052736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 212683052736 in words is "two hundred twelve billion, six hundred eighty-three million, fifty-two thousand, seven hundred thirty-six".