212839719456 has 432 divisors, whose sum is σ = 712879574400. Its totient is φ = 55406647296.

The previous prime is 212839719419. The next prime is 212839719461. The reversal of 212839719456 is 654917938212.

It is a junction number, because it is equal to n+sod(n) for n = 212839719396 and 212839719405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62801410 + ... + 62804798.

It is an arithmetic number, because the mean of its divisors is an integer number (1650184200).

Almost surely, 2^212839719456 is an apocalyptic number.

212839719456 is a gapful number since it is divisible by the number (26) 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 212839719456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356439787200).

212839719456 is an abundant number, since it is smaller than the sum of its proper divisors (500039854944).

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

212839719456 is a wasteful number, since it uses less digits than its factorization.

212839719456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3493 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

It can be divided in two parts, 212839 and 719456, that added together give a triangular number (932295 = T₁₃₆₅).

The spelling of 212839719456 in words is "two hundred twelve billion, eight hundred thirty-nine million, seven hundred nineteen thousand, four hundred fifty-six".