1413112361661 has 288 divisors, whose sum is σ = 2899180118016. Its totient is φ = 651278880000.

The previous prime is 1413112361657. The next prime is 1413112361699. The reversal of 1413112361661 is 1661632113141.

1413112361661 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 11 + 23 + 616 + 6 + 1 = 666.

It is not a de Polignac number, because 1413112361661 - 2² = 1413112361657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413112361651) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 295195510 + ... + 295200296.

It is an arithmetic number, because the mean of its divisors is an integer number (10066597632).

Almost surely, 2^{1413112361661} is an apocalyptic number.

1413112361661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1413112361661 is an abundant number, since it is smaller than the sum of its proper divisors (1486067756355).

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

1413112361661 is a wasteful number, since it uses less digits than its factorization.

1413112361661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5003 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 1413112361661 in words is "one trillion, four hundred thirteen billion, one hundred twelve million, three hundred sixty-one thousand, six hundred sixty-one".