30806862912 has 252 divisors, whose sum is σ = 103171386240. Its totient is φ = 8763213312.

The previous prime is 30806862887. The next prime is 30806862937. The reversal of 30806862912 is 21926860803.

30806862912 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 6 + 8 + 629 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (30806862887) and next prime (30806862937).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×30806862912² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6743253 + ... + 6747819.

Almost surely, 2^30806862912 is an apocalyptic number.

30806862912 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 30806862912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51585693120).

30806862912 is an abundant number, since it is smaller than the sum of its proper divisors (72364523328).

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

30806862912 is a wasteful number, since it uses less digits than its factorization.

30806862912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30806862912 in words is "thirty billion, eight hundred six million, eight hundred sixty-two thousand, nine hundred twelve".