2168971118496 has 1008 divisors, whose sum is σ = 8068342341024. Its totient is φ = 568630637568.

The previous prime is 2168971118471. The next prime is 2168971118497. The reversal of 2168971118496 is 6948111798612.

2168971118496 is a `hidden beast` number, since 2 + 1 + 68 + 9 + 71 + 1 + 18 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2168971118497) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3373205151 + ... + 3373205793.

It is an arithmetic number, because the mean of its divisors is an integer number (8004307878).

Almost surely, 2^{2168971118496} is an apocalyptic number.

2168971118496 is a gapful number since it is divisible by the number (26) 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 2168971118496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034171170512).

2168971118496 is an abundant number, since it is smaller than the sum of its proper divisors (5899371222528).

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

2168971118496 is a wasteful number, since it uses less digits than its factorization.

2168971118496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 895 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The spelling of 2168971118496 in words is "two trillion, one hundred sixty-eight billion, nine hundred seventy-one million, one hundred eighteen thousand, four hundred ninety-six".