261293344954368 has 384 divisors, whose sum is σ = 723252249720000. Its totient is φ = 83823144468480.

The previous prime is 261293344954339. The next prime is 261293344954379. The reversal of 261293344954368 is 863459443392162.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8163105148 + ... + 8163137156.

Almost surely, 2^{261293344954368} 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 261293344954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361626124860000).

261293344954368 is an abundant number, since it is smaller than the sum of its proper divisors (461958904765632).

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

261293344954368 is a wasteful number, since it uses less digits than its factorization.

261293344954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32461 (or 32441 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 69.

The spelling of 261293344954368 in words is "two hundred sixty-one trillion, two hundred ninety-three billion, three hundred forty-four million, nine hundred fifty-four thousand, three hundred sixty-eight".