30099446019104 has 576 divisors, whose sum is σ = 81315423092736. Its totient is φ = 10701960192000.

The previous prime is 30099446019101. The next prime is 30099446019119. The reversal of 30099446019104 is 40191064499003.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30099446019101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1372074824 + ... + 1372096760.

It is an arithmetic number, because the mean of its divisors is an integer number (141172609536).

Almost surely, 2^{30099446019104} 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 30099446019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40657711546368).

30099446019104 is an abundant number, since it is smaller than the sum of its proper divisors (51215977073632).

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

30099446019104 is a wasteful number, since it uses less digits than its factorization.

30099446019104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22101 (or 22082 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 30099446019104 in words is "thirty trillion, ninety-nine billion, four hundred forty-six million, nineteen thousand, one hundred four".