261109344849024 has 768 divisors, whose sum is σ = 839942957629440. Its totient is φ = 71582115225600.

The previous prime is 261109344848969. The next prime is 261109344849029. The reversal of 261109344849024 is 420948443901162.

261109344849024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×261109344849024³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (261109344849029) 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, 41009788689 + ... + 41009795055.

It is an arithmetic number, because the mean of its divisors is an integer number (1093675726080).

Almost surely, 2^{261109344849024} is an apocalyptic number.

261109344849024 is a gapful number since it is divisible by the number (24) 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 261109344849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419971478814720).

261109344849024 is an abundant number, since it is smaller than the sum of its proper divisors (578833612780416).

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

261109344849024 is a wasteful number, since it uses less digits than its factorization.

261109344849024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 261109344849024 in words is "two hundred sixty-one trillion, one hundred nine billion, three hundred forty-four million, eight hundred forty-nine thousand, twenty-four".