261814334588352 has 896 divisors, whose sum is σ = 988783130603520. Its totient is φ = 66028354191360.

The previous prime is 261814334588269. The next prime is 261814334588413. The reversal of 261814334588352 is 253885433418162.

261814334588352 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 1 + 43 + 3 + 4 + 588 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 261814334588352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15381833602 + ... + 15381850622.

It is an arithmetic number, because the mean of its divisors is an integer number (1103552601120).

Almost surely, 2^{261814334588352} 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 261814334588352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494391565301760).

261814334588352 is an abundant number, since it is smaller than the sum of its proper divisors (726968796015168).

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

261814334588352 is a wasteful number, since it uses less digits than its factorization.

261814334588352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21338 (or 21322 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 261814334588352 in words is "two hundred sixty-one trillion, eight hundred fourteen billion, three hundred thirty-four million, five hundred eighty-eight thousand, three hundred fifty-two".