261336579048 has 384 divisors, whose sum is σ = 805711795200. Its totient is φ = 76030617600.

The previous prime is 261336579019. The next prime is 261336579061. The reversal of 261336579048 is 840975633162.

261336579048 is a `hidden beast` number, since 2 + 61 + 3 + 3 + 6 + 579 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 261336578985 and 261336579003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269141203 + ... + 269142173.

It is an arithmetic number, because the mean of its divisors is an integer number (2098207800).

It is a 1-persistent number, because it is pandigital, but 2⋅261336579048 = 522673158096 is not.

Almost surely, 2^261336579048 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 261336579048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402855897600).

261336579048 is an abundant number, since it is smaller than the sum of its proper divisors (544375216152).

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

261336579048 is a wasteful number, since it uses less digits than its factorization.

261336579048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 261336579048 in words is "two hundred sixty-one billion, three hundred thirty-six million, five hundred seventy-nine thousand, forty-eight".