1882168958208 has 576 divisors, whose sum is σ = 6420056832000. Its totient is φ = 485254103040.

The previous prime is 1882168958177. The next prime is 1882168958251. The reversal of 1882168958208 is 8028598612881.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402772960 + ... + 402777632.

It is an arithmetic number, because the mean of its divisors is an integer number (11145932000).

Almost surely, 2^{1882168958208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1882168958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210028416000).

1882168958208 is an abundant number, since it is smaller than the sum of its proper divisors (4537887873792).

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

1882168958208 is a wasteful number, since it uses less digits than its factorization.

1882168958208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 66.

The spelling of 1882168958208 in words is "one trillion, eight hundred eighty-two billion, one hundred sixty-eight million, nine hundred fifty-eight thousand, two hundred eight".