1882315333116 has 192 divisors, whose sum is σ = 5228462131200. Its totient is φ = 584172864000.

The previous prime is 1882315333111. The next prime is 1882315333117. The reversal of 1882315333116 is 6113335132881.

1882315333116 is a `hidden beast` number, since 1 + 8 + 82 + 3 + 1 + 533 + 31 + 1 + 6 = 666.

It is a super-2 number, since 2×1882315333116² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882315333111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44688466 + ... + 44730566.

It is an arithmetic number, because the mean of its divisors is an integer number (27231573600).

Almost surely, 2^{1882315333116} 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 1882315333116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614231065600).

1882315333116 is an abundant number, since it is smaller than the sum of its proper divisors (3346146798084).

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

1882315333116 is a wasteful number, since it uses less digits than its factorization.

1882315333116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42617 (or 42609 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 1882315333116 in words is "one trillion, eight hundred eighty-two billion, three hundred fifteen million, three hundred thirty-three thousand, one hundred sixteen".