30249168768 has 384 divisors, whose sum is σ = 111110737920. Its totient is φ = 7977056256.

The previous prime is 30249168731. The next prime is 30249168769. The reversal of 30249168768 is 86786194203.

30249168768 is a `hidden beast` number, since 30 + 2 + 491 + 68 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30249168768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30249168769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2825121 + ... + 2835807.

It is an arithmetic number, because the mean of its divisors is an integer number (289350880).

Almost surely, 2^30249168768 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 30249168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55555368960).

30249168768 is an abundant number, since it is smaller than the sum of its proper divisors (80861569152).

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

30249168768 is a wasteful number, since it uses less digits than its factorization.

30249168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30249168768 in words is "thirty billion, two hundred forty-nine million, one hundred sixty-eight thousand, seven hundred sixty-eight".