30481581312 has 1152 divisors, whose sum is σ = 120873984000. Its totient is φ = 7510745088.

The previous prime is 30481581293. The next prime is 30481581331. The reversal of 30481581312 is 21318518403.

30481581312 is a `hidden beast` number, since 3 + 0 + 48 + 1 + 581 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30481581293) and next prime (30481581331).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 708873963 + ... + 708874005.

Almost surely, 2^30481581312 is an apocalyptic number.

30481581312 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 30481581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60436992000).

30481581312 is an abundant number, since it is smaller than the sum of its proper divisors (90392402688).

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

30481581312 is a wasteful number, since it uses less digits than its factorization.

30481581312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 30481581312 in words is "thirty billion, four hundred eighty-one million, five hundred eighty-one thousand, three hundred twelve".