214828722768 has 160 divisors (see below), whose sum is σ = 634885971840. Its totient is φ = 61993451520.

The previous prime is 214828722767. The next prime is 214828722793. The reversal of 214828722768 is 867227828412.

It is a super-2 number, since 2×214828722768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214828722767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021680 + ... + 1213872.

It is an arithmetic number, because the mean of its divisors is an integer number (3968037324).

Almost surely, 2^214828722768 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 214828722768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317442985920).

214828722768 is an abundant number, since it is smaller than the sum of its proper divisors (420057249072).

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

214828722768 is a wasteful number, since it uses less digits than its factorization.

214828722768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192317 (or 192311 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 57.

The spelling of 214828722768 in words is "two hundred fourteen billion, eight hundred twenty-eight million, seven hundred twenty-two thousand, seven hundred sixty-eight".