261462761852736 has 224 divisors, whose sum is σ = 699492344398848. Its totient is φ = 86190603448320.

The previous prime is 261462761852689. The next prime is 261462761852767. The reversal of 261462761852736 is 637258167264162.

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 31 ways as a sum of consecutive naturals, for example, 3886674781 + ... + 3886742051.

It is an arithmetic number, because the mean of its divisors is an integer number (3122733680352).

Almost surely, 2^{261462761852736} 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 261462761852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349746172199424).

261462761852736 is an abundant number, since it is smaller than the sum of its proper divisors (438029582546112).

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

261462761852736 is a wasteful number, since it uses less digits than its factorization.

261462761852736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68109 (or 68099 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 66.

The spelling of 261462761852736 in words is "two hundred sixty-one trillion, four hundred sixty-two billion, seven hundred sixty-one million, eight hundred fifty-two thousand, seven hundred thirty-six".