2268868541184 has 288 divisors, whose sum is σ = 7824432000000. Its totient is φ = 648247477248.

The previous prime is 2268868541161. The next prime is 2268868541201. The reversal of 2268868541184 is 4811458688622.

2268868541184 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 8 + 6 + 8 + 541 + 1 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892317 + ... + 2849315.

Almost surely, 2^{2268868541184} is an apocalyptic number.

2268868541184 is a gapful number since it is divisible by the number (24) 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 2268868541184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912216000000).

2268868541184 is an abundant number, since it is smaller than the sum of its proper divisors (5555563458816).

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

2268868541184 is an frugal number, since it uses more digits than its factorization.

2268868541184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957045 (or 957011 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 63.

The spelling of 2268868541184 in words is "two trillion, two hundred sixty-eight billion, eight hundred sixty-eight million, five hundred forty-one thousand, one hundred eighty-four".