261763389374112 has 144 divisors (see below), whose sum is σ = 745079740757352. Its totient is φ = 87173593251840.

The previous prime is 261763389374041. The next prime is 261763389374159. The reversal of 261763389374112 is 211473983367162.

261763389374112 is a `hidden beast` number, since 2 + 6 + 1 + 76 + 3 + 3 + 89 + 374 + 112 = 666.

261763389374112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 218319419204496 + 43443970169616 = 14775636^2 + 6591204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×261763389374112² (a number of 30 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 261763389374112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2555308558 + ... + 2555410994.

Almost surely, 2^{261763389374112} is an apocalyptic number.

It is an amenable number.

261763389374112 is an abundant number, since it is smaller than the sum of its proper divisors (483316351383240).

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

261763389374112 is a wasteful number, since it uses less digits than its factorization.

261763389374112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110591 (or 110580 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 261763389374112 in words is "two hundred sixty-one trillion, seven hundred sixty-three billion, three hundred eighty-nine million, three hundred seventy-four thousand, one hundred twelve".