212239146682368 has 1152 divisors, whose sum is σ = 708648333120000. Its totient is φ = 62381744455680.

The previous prime is 212239146682291. The next prime is 212239146682391. The reversal of 212239146682368 is 863286641932212.

212239146682368 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 91 + 466 + 8 + 23 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54574219368 + ... + 54574223256.

It is an arithmetic number, because the mean of its divisors is an integer number (615146122500).

Almost surely, 2^{212239146682368} 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 212239146682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354324166560000).

212239146682368 is an abundant number, since it is smaller than the sum of its proper divisors (496409186437632).

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

212239146682368 is a wasteful number, since it uses less digits than its factorization.

212239146682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4017 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 212239146682368 in words is "two hundred twelve trillion, two hundred thirty-nine billion, one hundred forty-six million, six hundred eighty-two thousand, three hundred sixty-eight".