212458286458368 has 400 divisors, whose sum is σ = 643225248404640. Its totient is φ = 69804409651200.

The previous prime is 212458286458337. The next prime is 212458286458409. The reversal of 212458286458368 is 863854682854212.

212458286458368 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 582 + 8 + 6 + 4 + 5 + 8 + 36 + 8 = 666.

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 = 212458286458296 and 212458286458305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17316668938 + ... + 17316681206.

Almost surely, 2^{212458286458368} 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 212458286458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321612624202320).

212458286458368 is an abundant number, since it is smaller than the sum of its proper divisors (430766961946272).

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

212458286458368 is an equidigital number, since it uses as much as digits as its factorization.

212458286458368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18251 (or 18226 counting only the distinct ones).

The product of its digits is 1415577600, while the sum is 72.

The spelling of 212458286458368 in words is "two hundred twelve trillion, four hundred fifty-eight billion, two hundred eighty-six million, four hundred fifty-eight thousand, three hundred sixty-eight".