3023249990112 has 672 divisors, whose sum is σ = 10235378039040. Its totient is φ = 869675304960.

The previous prime is 3023249990107. The next prime is 3023249990113. The reversal of 3023249990112 is 2110999423203.

It is a happy number.

3023249990112 is a `hidden beast` number, since 30 + 2 + 32 + 499 + 90 + 1 + 12 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023249990113) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 808569939 + ... + 808573677.

It is an arithmetic number, because the mean of its divisors is an integer number (15231217320).

Almost surely, 2^{3023249990112} is an apocalyptic number.

3023249990112 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 3023249990112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117689019520).

3023249990112 is an abundant number, since it is smaller than the sum of its proper divisors (7212128048928).

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

3023249990112 is a wasteful number, since it uses less digits than its factorization.

3023249990112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 3023249990112 in words is "three trillion, twenty-three billion, two hundred forty-nine million, nine hundred ninety thousand, one hundred twelve".