1361217092416 has 112 divisors (see below), whose sum is σ = 2870658216000. Its totient is φ = 638615273472.

The previous prime is 1361217092377. The next prime is 1361217092507. The reversal of 1361217092416 is 6142907121631.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 63947311 + ... + 63968593.

Almost surely, 2^{1361217092416} is an apocalyptic number.

1361217092416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361217092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435329108000).

1361217092416 is an abundant number, since it is smaller than the sum of its proper divisors (1509441123584).

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

1361217092416 is a wasteful number, since it uses less digits than its factorization.

1361217092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21816 (or 21806 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 1361217092416 in words is "one trillion, three hundred sixty-one billion, two hundred seventeen million, ninety-two thousand, four hundred sixteen".