30145406346 has 192 divisors, whose sum is σ = 76632192000. Its totient is φ = 8468064000.

The previous prime is 30145406267. The next prime is 30145406387. The reversal of 30145406346 is 64360454103.

30145406346 is a `hidden beast` number, since 3 + 0 + 14 + 5 + 4 + 0 + 634 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30145406346.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50158446 + ... + 50159046.

It is an arithmetic number, because the mean of its divisors is an integer number (399126000).

Almost surely, 2^30145406346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30145406346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38316096000).

30145406346 is an abundant number, since it is smaller than the sum of its proper divisors (46486785654).

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

30145406346 is a wasteful number, since it uses less digits than its factorization.

30145406346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30145406346 in words is "thirty billion, one hundred forty-five million, four hundred six thousand, three hundred forty-six".