30381145920 has 336 divisors, whose sum is σ = 112348304640. Its totient is φ = 7511298048.

The previous prime is 30381145897. The next prime is 30381145931. The reversal of 30381145920 is 2954118303.

30381145920 is a `hidden beast` number, since 30 + 38 + 1 + 1 + 4 + 592 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2565934 + ... + 2577746.

Almost surely, 2^30381145920 is an apocalyptic number.

30381145920 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 30381145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56174152320).

30381145920 is an abundant number, since it is smaller than the sum of its proper divisors (81967158720).

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

30381145920 is a wasteful number, since it uses less digits than its factorization.

30381145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902 (or 11889 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 30381145920 in words is "thirty billion, three hundred eighty-one million, one hundred forty-five thousand, nine hundred twenty".