2328841767168 has 864 divisors, whose sum is σ = 8206163160832. Its totient is φ = 644972544000.

The previous prime is 2328841767121. The next prime is 2328841767253. The reversal of 2328841767168 is 8617671488232.

It is a happy number.

2328841767168 is a `hidden beast` number, since 2 + 328 + 84 + 1 + 76 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1939084968 + ... + 1939086168.

Almost surely, 2^{2328841767168} is an apocalyptic number.

2328841767168 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 2328841767168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103081580416).

2328841767168 is an abundant number, since it is smaller than the sum of its proper divisors (5877321393664).

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

2328841767168 is an equidigital number, since it uses as much as digits as its factorization.

2328841767168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1347 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 2328841767168 in words is "two trillion, three hundred twenty-eight billion, eight hundred forty-one million, seven hundred sixty-seven thousand, one hundred sixty-eight".