212386642707456 has 3168 divisors, whose sum is σ = 831755119104000. Its totient is φ = 53635916759040.

The previous prime is 212386642707443. The next prime is 212386642707517. The reversal of 212386642707456 is 654707246683212.

212386642707456 is a `hidden beast` number, since 2 + 1 + 2 + 38 + 66 + 427 + 0 + 74 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 212386642707393 and 212386642707402.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 783714548601 + ... + 783714548871.

Almost surely, 2^{212386642707456} 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 212386642707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415877559552000).

212386642707456 is an abundant number, since it is smaller than the sum of its proper divisors (619368476396544).

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

212386642707456 is a wasteful number, since it uses less digits than its factorization.

212386642707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 212386642707456 in words is "two hundred twelve trillion, three hundred eighty-six billion, six hundred forty-two million, seven hundred seven thousand, four hundred fifty-six".