2618337616991 has 16 divisors (see below), whose sum is σ = 2824770910464. Its totient is φ = 2417731490304.

The previous prime is 2618337616903. The next prime is 2618337617003. The reversal of 2618337616991 is 1996167338162.

It is a cyclic number.

It is not a de Polignac number, because 2618337616991 - 2¹⁴ = 2618337600607 is a prime.

It is a super-2 number, since 2×2618337616991² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2618337619991) 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 15 ways as a sum of consecutive naturals, for example, 48092501 + ... + 48146913.

It is an arithmetic number, because the mean of its divisors is an integer number (176548181904).

Almost surely, 2^{2618337616991} is an apocalyptic number.

2618337616991 is a deficient number, since it is larger than the sum of its proper divisors (206433293473).

2618337616991 is a wasteful number, since it uses less digits than its factorization.

2618337616991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107890.

The product of its digits is 17635968, while the sum is 62.

The spelling of 2618337616991 in words is "two trillion, six hundred eighteen billion, three hundred thirty-seven million, six hundred sixteen thousand, nine hundred ninety-one".