233162151261138 has 168 divisors, whose sum is σ = 576510813068988. Its totient is φ = 70639050240000.

The previous prime is 233162151261119. The next prime is 233162151261139. The reversal of 233162151261138 is 831162151261332.

233162151261138 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 6 + 2 + 15 + 12 + 611 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213947754064209 + 19214397196929 = 14626953^2 + 4383423^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 233162151261093 and 233162151261102.

It is not an unprimeable number, because it can be changed into a prime (233162151261139) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 783323538 + ... + 783621138.

Almost surely, 2^{233162151261138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233162151261138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288255406534494).

233162151261138 is an abundant number, since it is smaller than the sum of its proper divisors (343348661807850).

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

233162151261138 is a wasteful number, since it uses less digits than its factorization.

233162151261138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302084 (or 302058 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 233162151261138 in words is "two hundred thirty-three trillion, one hundred sixty-two billion, one hundred fifty-one million, two hundred sixty-one thousand, one hundred thirty-eight".