30745905152 has 192 divisors, whose sum is σ = 68440619520. Its totient is φ = 13742899200.

The previous prime is 30745905149. The next prime is 30745905163. The reversal of 30745905152 is 25150954703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65836823 + ... + 65837289.

It is an arithmetic number, because the mean of its divisors is an integer number (356461560).

Almost surely, 2^30745905152 is an apocalyptic number.

30745905152 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 30745905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34220309760).

30745905152 is an abundant number, since it is smaller than the sum of its proper divisors (37694714368).

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

30745905152 is a wasteful number, since it uses less digits than its factorization.

30745905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The spelling of 30745905152 in words is "thirty billion, seven hundred forty-five million, nine hundred five thousand, one hundred fifty-two".