138892223232 has 864 divisors, whose sum is σ = 503314560000. Its totient is φ = 37618753536.

The previous prime is 138892223191. The next prime is 138892223237. The reversal of 138892223232 is 232322298831.

138892223232 is a `hidden beast` number, since 1 + 388 + 9 + 2 + 2 + 232 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×138892223232³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138892223237) 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, 775934119 + ... + 775934297.

It is an arithmetic number, because the mean of its divisors is an integer number (582540000).

Almost surely, 2^138892223232 is an apocalyptic number.

138892223232 is a gapful number since it is divisible by the number (12) 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 138892223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251657280000).

138892223232 is an abundant number, since it is smaller than the sum of its proper divisors (364422336768).

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

138892223232 is a wasteful number, since it uses less digits than its factorization.

138892223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 299 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 138892223232 in words is "one hundred thirty-eight billion, eight hundred ninety-two million, two hundred twenty-three thousand, two hundred thirty-two".