261047314000 has 160 divisors (see below), whose sum is σ = 691062233472. Its totient is φ = 94586240000.

The previous prime is 261047313997. The next prime is 261047314013. The reversal of 261047314000 is 413740162.

261047314000 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-2 number, since 2×261047314000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261047314000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6160887 + ... + 6203113.

Almost surely, 2^261047314000 is an apocalyptic number.

261047314000 is a gapful number since it is divisible by the number (20) 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 261047314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345531116736).

261047314000 is an abundant number, since it is smaller than the sum of its proper divisors (430014919472).

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

261047314000 is a wasteful number, since it uses less digits than its factorization.

261047314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42542 (or 42526 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 261047314000 in words is "two hundred sixty-one billion, forty-seven million, three hundred fourteen thousand".