212838918792864 has 288 divisors, whose sum is σ = 700253933258880. Its totient is φ = 56105966020608.

The previous prime is 212838918792847. The next prime is 212838918792893. The reversal of 212838918792864 is 468297819838212.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 212838918792864.

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 47 ways as a sum of consecutive naturals, for example, 124697397 + ... + 126392715.

It is an arithmetic number, because the mean of its divisors is an integer number (2431437268260).

Almost surely, 2^{212838918792864} is an apocalyptic number.

212838918792864 is a gapful number since it is divisible by the number (24) 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 212838918792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350126966629440).

212838918792864 is an abundant number, since it is smaller than the sum of its proper divisors (487415014466016).

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

212838918792864 is a wasteful number, since it uses less digits than its factorization.

212838918792864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697412 (or 1697397 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 78.

The spelling of 212838918792864 in words is "two hundred twelve trillion, eight hundred thirty-eight billion, nine hundred eighteen million, seven hundred ninety-two thousand, eight hundred sixty-four".