30146461344 has 72 divisors (see below), whose sum is σ = 86103550260. Its totient is φ = 10004917248.

The previous prime is 30146461343. The next prime is 30146461351. The reversal of 30146461344 is 44316464103.

30146461344 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 646 + 1 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19493744400 + 10652716944 = 139620^2 + 103212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 30146461299 and 30146461308.

It is not an unprimeable number, because it can be changed into a prime (30146461343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162597 + ... + 294500.

Almost surely, 2^30146461344 is an apocalyptic number.

It is an amenable number.

30146461344 is an abundant number, since it is smaller than the sum of its proper divisors (55957088916).

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

30146461344 is a wasteful number, since it uses less digits than its factorization.

30146461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457342 (or 457331 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 30146461344 in words is "thirty billion, one hundred forty-six million, four hundred sixty-one thousand, three hundred forty-four".