1364400106605 has 24 divisors (see below), whose sum is σ = 2366587937688. Its totient is φ = 727179209856.

The previous prime is 1364400106579. The next prime is 1364400106627. The reversal of 1364400106605 is 5066010044631.

It is a happy number.

1364400106605 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 40 + 0 + 1 + 0 + 6 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 918158738436 + 446241368169 = 958206^2 + 668013^2 .

It is not a de Polignac number, because 1364400106605 - 2⁶ = 1364400106541 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1364400106605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10368202 + ... + 10498971.

It is an arithmetic number, because the mean of its divisors is an integer number (98607830737).

Almost surely, 2^{1364400106605} is an apocalyptic number.

1364400106605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1364400106605 is a deficient number, since it is larger than the sum of its proper divisors (1002187831083).

1364400106605 is a wasteful number, since it uses less digits than its factorization.

1364400106605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20868637 (or 20868634 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1364400106605 in words is "one trillion, three hundred sixty-four billion, four hundred million, one hundred six thousand, six hundred five".