2117361455761 has 8 divisors (see below), whose sum is σ = 2237681224800. Its totient is φ = 1997929656000.

The previous prime is 2117361455753. The next prime is 2117361455779. The reversal of 2117361455761 is 1675541637112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2117361455761 - 2³ = 2117361455753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2117361455731) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 221987416 + ... + 221996953.

It is an arithmetic number, because the mean of its divisors is an integer number (279710153100).

Almost surely, 2^{2117361455761} is an apocalyptic number.

It is an amenable number.

2117361455761 is a deficient number, since it is larger than the sum of its proper divisors (120319769039).

2117361455761 is a wasteful number, since it uses less digits than its factorization.

2117361455761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443984639.

The product of its digits is 1058400, while the sum is 49.

The spelling of 2117361455761 in words is "two trillion, one hundred seventeen billion, three hundred sixty-one million, four hundred fifty-five thousand, seven hundred sixty-one".