3823128554112 has 1280 divisors, whose sum is σ = 13839785625600. Its totient is φ = 1024789708800.

The previous prime is 3823128554111. The next prime is 3823128554153. The reversal of 3823128554112 is 2114558213283.

3823128554112 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 12 + 85 + 541 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (3823128554111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12214468068 + ... + 12214468380.

It is an arithmetic number, because the mean of its divisors is an integer number (10812332520).

Almost surely, 2^{3823128554112} is an apocalyptic number.

3823128554112 is a gapful number since it is divisible by the number (32) 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 3823128554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919892812800).

3823128554112 is an abundant number, since it is smaller than the sum of its proper divisors (10016657071488).

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

3823128554112 is a wasteful number, since it uses less digits than its factorization.

3823128554112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 506 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 3823128554112 in words is "three trillion, eight hundred twenty-three billion, one hundred twenty-eight million, five hundred fifty-four thousand, one hundred twelve".