30044900947968 has 768 divisors, whose sum is σ = 94302506188800. Its totient is φ = 9432882708480.

The previous prime is 30044900947961. The next prime is 30044900947987. The reversal of 30044900947968 is 86974900944003.

30044900947968 is a `hidden beast` number, since 30 + 0 + 44 + 90 + 0 + 9 + 479 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30044900947961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27640202721 + ... + 27640203807.

It is an arithmetic number, because the mean of its divisors is an integer number (122789721600).

Almost surely, 2^{30044900947968} 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 30044900947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47151253094400).

30044900947968 is an abundant number, since it is smaller than the sum of its proper divisors (64257605240832).

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

30044900947968 is a wasteful number, since it uses less digits than its factorization.

30044900947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 30044900947968 in words is "thirty trillion, forty-four billion, nine hundred million, nine hundred forty-seven thousand, nine hundred sixty-eight".