212377144896 has 336 divisors, whose sum is σ = 722266272000. Its totient is φ = 58377424896.

The previous prime is 212377144853. The next prime is 212377144897. The reversal of 212377144896 is 698441773212.

212377144896 is a `hidden beast` number, since 2 + 12 + 37 + 71 + 448 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (212377144897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34256805 + ... + 34263003.

It is an arithmetic number, because the mean of its divisors is an integer number (2149602000).

Almost surely, 2^212377144896 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 212377144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361133136000).

212377144896 is an abundant number, since it is smaller than the sum of its proper divisors (509889127104).

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

212377144896 is a wasteful number, since it uses less digits than its factorization.

212377144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6533 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 212377144896 in words is "two hundred twelve billion, three hundred seventy-seven million, one hundred forty-four thousand, eight hundred ninety-six".