172211682438 has 48 divisors (see below), whose sum is σ = 374319429120. Its totient is φ = 57220411248.

The previous prime is 172211682437. The next prime is 172211682443. The reversal of 172211682438 is 834286112271.

172211682438 is a `hidden beast` number, since 1 + 7 + 22 + 116 + 82 + 438 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 172211682393 and 172211682402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172211682437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9999631 + ... + 10016837.

It is an arithmetic number, because the mean of its divisors is an integer number (7798321440).

Almost surely, 2^172211682438 is an apocalyptic number.

172211682438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

172211682438 is an abundant number, since it is smaller than the sum of its proper divisors (202107746682).

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

172211682438 is a wasteful number, since it uses less digits than its factorization.

172211682438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18961 (or 18958 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 172211682438 in words is "one hundred seventy-two billion, two hundred eleven million, six hundred eighty-two thousand, four hundred thirty-eight".