212714254368 has 576 divisors, whose sum is σ = 810141696000. Its totient is φ = 52337456640.

The previous prime is 212714254351. The next prime is 212714254369. The reversal of 212714254368 is 863452417212.

212714254368 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 1 + 42 + 543 + 68 = 666.

It is a super-2 number, since 2×212714254368² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212714254369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20640705 + ... + 20651007.

It is an arithmetic number, because the mean of its divisors is an integer number (1406496000).

Almost surely, 2^212714254368 is an apocalyptic number.

212714254368 is a gapful number since it is divisible by the number (28) 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 212714254368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405070848000).

212714254368 is an abundant number, since it is smaller than the sum of its proper divisors (597427441632).

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

212714254368 is a wasteful number, since it uses less digits than its factorization.

212714254368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370 (or 10345 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 212714254368 in words is "two hundred twelve billion, seven hundred fourteen million, two hundred fifty-four thousand, three hundred sixty-eight".