1611427113000 has 96 divisors (see below), whose sum is σ = 5446623672360. Its totient is φ = 429713894400.

The previous prime is 1611427112957. The next prime is 1611427113011. The reversal of 1611427113000 is 3117241161.

1611427113000 is a `hidden beast` number, since 1 + 611 + 4 + 2 + 7 + 11 + 30 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164088186084 + 1447338926916 = 405078^2 + 1203054^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89514729 + ... + 89532728.

Almost surely, 2^{1611427113000} is an apocalyptic number.

1611427113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1611427113000 is an abundant number, since it is smaller than the sum of its proper divisors (3835196559360).

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

1611427113000 is a wasteful number, since it uses less digits than its factorization.

1611427113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179047484 (or 179047467 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1611427113000 in words is "one trillion, six hundred eleven billion, four hundred twenty-seven million, one hundred thirteen thousand".