27631149693156 has 81 divisors (see below), whose sum is σ = 70478067453339. Its totient is φ = 9127697951232.

The previous prime is 27631149693143. The next prime is 27631149693209. The reversal of 27631149693156 is 65139694113672.

The square root of 27631149693156 is 5256534.

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

27631149693156 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 1 + 1 + 496 + 93 + 1 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116508899556 + 27514640793600 = 341334^2 + 5245440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27631149693093 and 27631149693102.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3563926176 + ... + 3563933928.

Almost surely, 2^{27631149693156} is an apocalyptic number.

27631149693156 is the 5256534-th square number.

It is an amenable number.

27631149693156 is an abundant number, since it is smaller than the sum of its proper divisors (42846917760183).

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

27631149693156 is an frugal number, since it uses more digits than its factorization.

27631149693156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15742 (or 7871 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 27631149693156 in words is "twenty-seven trillion, six hundred thirty-one billion, one hundred forty-nine million, six hundred ninety-three thousand, one hundred fifty-six".