261374273136 has 120 divisors (see below), whose sum is σ = 767860853760. Its totient is φ = 82837527168.

The previous prime is 261374273123. The next prime is 261374273183. The reversal of 261374273136 is 631372473162.

261374273136 is a `hidden beast` number, since 2 + 6 + 1 + 374 + 273 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 261374273091 and 261374273100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316825 + ... + 789383.

It is an arithmetic number, because the mean of its divisors is an integer number (6398840448).

Almost surely, 2^261374273136 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 261374273136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383930426880).

261374273136 is an abundant number, since it is smaller than the sum of its proper divisors (506486580624).

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

261374273136 is a wasteful number, since it uses less digits than its factorization.

261374273136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472763 (or 472754 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 261374273136 in words is "two hundred sixty-one billion, three hundred seventy-four million, two hundred seventy-three thousand, one hundred thirty-six".