2111748807168 has 2400 divisors, whose sum is σ = 8866388139840. Its totient is φ = 494538670080.

The previous prime is 2111748807137. The next prime is 2111748807191. The reversal of 2111748807168 is 8617088471112.

2111748807168 is a `hidden beast` number, since 21 + 1 + 17 + 488 + 0 + 71 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49110437355 + ... + 49110437397.

Almost surely, 2^{2111748807168} is an apocalyptic number.

2111748807168 is a gapful number since it is divisible by the number (28) 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 2111748807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433194069920).

2111748807168 is an abundant number, since it is smaller than the sum of its proper divisors (6754639332672).

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

2111748807168 is an equidigital number, since it uses as much as digits as its factorization.

2111748807168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 2111748807168 in words is "two trillion, one hundred eleven billion, seven hundred forty-eight million, eight hundred seven thousand, one hundred sixty-eight".