2233917988848 has 1920 divisors, whose sum is σ = 8785357701120. Its totient is φ = 513559388160.

The previous prime is 2233917988831. The next prime is 2233917988849. The reversal of 2233917988848 is 8488897193322.

2233917988848 is a `hidden beast` number, since 2 + 2 + 339 + 179 + 8 + 88 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233917988849) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17589905361 + ... + 17589905487.

It is an arithmetic number, because the mean of its divisors is an integer number (4575707136).

Almost surely, 2^{2233917988848} is an apocalyptic number.

2233917988848 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 2233917988848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392678850560).

2233917988848 is an abundant number, since it is smaller than the sum of its proper divisors (6551439712272).

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

2233917988848 is a wasteful number, since it uses less digits than its factorization.

2233917988848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 2233917988848 in words is "two trillion, two hundred thirty-three billion, nine hundred seventeen million, nine hundred eighty-eight thousand, eight hundred forty-eight".