304990106112 has 800 divisors, whose sum is σ = 999968587200. Its totient is φ = 92231073792.

The previous prime is 304990106021. The next prime is 304990106149. The reversal of 304990106112 is 211601099403.

It is a happy number.

304990106112 is a `hidden beast` number, since 30 + 4 + 9 + 9 + 0 + 1 + 0 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2798074314 + ... + 2798074422.

It is an arithmetic number, because the mean of its divisors is an integer number (1249960734).

Almost surely, 2^304990106112 is an apocalyptic number.

304990106112 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 304990106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499984293600).

304990106112 is an abundant number, since it is smaller than the sum of its proper divisors (694978481088).

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

304990106112 is a wasteful number, since it uses less digits than its factorization.

304990106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 304990106112 in words is "three hundred four billion, nine hundred ninety million, one hundred six thousand, one hundred twelve".