30285248112 has 400 divisors, whose sum is σ = 103041470400. Its totient is φ = 8583708672.

The previous prime is 30285248101. The next prime is 30285248233. The reversal of 30285248112 is 21184258203.

It is a happy number.

30285248112 is a `hidden beast` number, since 30 + 28 + 524 + 81 + 1 + 2 = 666.

It is a super-3 number, since 3×30285248112³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85793728 + ... + 85794080.

It is an arithmetic number, because the mean of its divisors is an integer number (257603676).

Almost surely, 2^30285248112 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 30285248112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51520735200).

30285248112 is an abundant number, since it is smaller than the sum of its proper divisors (72756222288).

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

30285248112 is a wasteful number, since it uses less digits than its factorization.

30285248112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 30285248112 in words is "thirty billion, two hundred eighty-five million, two hundred forty-eight thousand, one hundred twelve".