2791362123168 has 48 divisors (see below), whose sum is σ = 7327544857920. Its totient is φ = 930426195456.

The previous prime is 2791362123161. The next prime is 2791362123181. The reversal of 2791362123168 is 8613212631972.

It is a Cunningham number, because it is equal to 1670737²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2791362123168.

It is not an unprimeable number, because it can be changed into a prime (2791362123161) 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 7 ways as a sum of consecutive naturals, for example, 2923788 + ... + 3759156.

It is an arithmetic number, because the mean of its divisors is an integer number (152657184540).

Almost surely, 2^{2791362123168} is an apocalyptic number.

It is an amenable number.

2791362123168 is an abundant number, since it is smaller than the sum of its proper divisors (4536182734752).

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

2791362123168 is a wasteful number, since it uses less digits than its factorization.

2791362123168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870189 (or 870181 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 2791362123168 in words is "two trillion, seven hundred ninety-one billion, three hundred sixty-two million, one hundred twenty-three thousand, one hundred sixty-eight".