1361171264096 has 96 divisors (see below), whose sum is σ = 3243144018240. Its totient is φ = 548983996416.

The previous prime is 1361171264077. The next prime is 1361171264161. The reversal of 1361171264096 is 6904621711631.

It is a self number, because there is not a number n which added to its sum of digits gives 1361171264096.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 56167310 + ... + 56191538.

It is an arithmetic number, because the mean of its divisors is an integer number (33782750190).

Almost surely, 2^{1361171264096} is an apocalyptic number.

1361171264096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1361171264096 is an abundant number, since it is smaller than the sum of its proper divisors (1881972754144).

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

1361171264096 is a wasteful number, since it uses less digits than its factorization.

1361171264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39016 (or 39008 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 1361171264096 in words is "one trillion, three hundred sixty-one billion, one hundred seventy-one million, two hundred sixty-four thousand, ninety-six".