261646476740100 has 243 divisors, whose sum is σ = 847473835305279. Its totient is φ = 67517789299200.

The previous prime is 261646476740081. The next prime is 261646476740179. The reversal of 261646476740100 is 1047674646162.

The square root of 261646476740100 is 16175490.

It is a perfect power (a square), and thus also a powerful number.

261646476740100 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 464 + 7 + 6 + 74 + 0 + 100 = 666.

261646476740100 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 47456695209924 + 214189781530176 = 6888882^2 + 14635224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15043197004 + ... + 15043214396.

Almost surely, 2^{261646476740100} is an apocalyptic number.

261646476740100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

261646476740100 is the 16175490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261646476740100

261646476740100 is an abundant number, since it is smaller than the sum of its proper divisors (585827358565179).

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

261646476740100 is an equidigital number, since it uses as much as digits as its factorization.

261646476740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34868 (or 17434 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 261646476740100 in words is "two hundred sixty-one trillion, six hundred forty-six billion, four hundred seventy-six million, seven hundred forty thousand, one hundred".