212850712968768 has 448 divisors, whose sum is σ = 720548616222720. Its totient is φ = 60355232262144.

The previous prime is 212850712968763. The next prime is 212850712968787. The reversal of 212850712968768 is 867869217058212.

212850712968768 is a `hidden beast` number, since 2 + 1 + 28 + 507 + 1 + 2 + 96 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×212850712968768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 212850712968696 and 212850712968705.

It is not an unprimeable number, because it can be changed into a prime (212850712968763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178047971 + ... + 1178228637.

Almost surely, 2^{212850712968768} is an apocalyptic number.

212850712968768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212850712968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360274308111360).

212850712968768 is an abundant number, since it is smaller than the sum of its proper divisors (507697903253952).

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

212850712968768 is a wasteful number, since it uses less digits than its factorization.

212850712968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181431 (or 181415 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 212850712968768 in words is "two hundred twelve trillion, eight hundred fifty billion, seven hundred twelve million, nine hundred sixty-eight thousand, seven hundred sixty-eight".