212671384858656 has 288 divisors, whose sum is σ = 628356108744000. Its totient is φ = 70758020551680.

The previous prime is 212671384858637. The next prime is 212671384858657. The reversal of 212671384858656 is 656858483176212.

212671384858656 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 7 + 1 + 38 + 4 + 8 + 586 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (212671384858657) 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, 19423812670 + ... + 19423823618.

It is an arithmetic number, because the mean of its divisors is an integer number (2181792044250).

Almost surely, 2^{212671384858656} 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 212671384858656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314178054372000).

212671384858656 is an abundant number, since it is smaller than the sum of its proper divisors (415684723885344).

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

212671384858656 is a wasteful number, since it uses less digits than its factorization.

212671384858656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414 (or 15394 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 212671384858656 in words is "two hundred twelve trillion, six hundred seventy-one billion, three hundred eighty-four million, eight hundred fifty-eight thousand, six hundred fifty-six".