30146914560 has 288 divisors, whose sum is σ = 110915223552. Its totient is φ = 6835691520.

The previous prime is 30146914549. The next prime is 30146914561. The reversal of 30146914560 is 6541964103.

It is not an unprimeable number, because it can be changed into a prime (30146914561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3409345 + ... + 3418175.

It is an arithmetic number, because the mean of its divisors is an integer number (385122304).

Almost surely, 2^30146914560 is an apocalyptic number.

30146914560 is a gapful number since it is divisible by the number (30) 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 30146914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55457611776).

30146914560 is an abundant number, since it is smaller than the sum of its proper divisors (80768308992).

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

30146914560 is a wasteful number, since it uses less digits than its factorization.

30146914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 30146914560 in words is "thirty billion, one hundred forty-six million, nine hundred fourteen thousand, five hundred sixty".