261452436336 has 1440 divisors, whose sum is σ = 1040063431680. Its totient is φ = 61782994944.

The previous prime is 261452436253. The next prime is 261452436367. The reversal of 261452436336 is 633634254162.

261452436336 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 5 + 2 + 4 + 3 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 261452436291 and 261452436300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2937667780 + ... + 2937667868.

It is an arithmetic number, because the mean of its divisors is an integer number (722266272).

Almost surely, 2^261452436336 is an apocalyptic number.

261452436336 is a gapful number since it is divisible by the number (26) 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 261452436336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520031715840).

261452436336 is an abundant number, since it is smaller than the sum of its proper divisors (778610995344).

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

261452436336 is a wasteful number, since it uses less digits than its factorization.

261452436336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 261452436336 in words is "two hundred sixty-one billion, four hundred fifty-two million, four hundred thirty-six thousand, three hundred thirty-six".