30541756644 has 405 divisors, whose sum is σ = 99384397497. Its totient is φ = 8153695872.

The previous prime is 30541756633. The next prime is 30541756697. The reversal of 30541756644 is 44665714503.

The square root of 30541756644 is 174762.

It is a perfect power (a square), and thus also a powerful number.

30541756644 is a `hidden beast` number, since 3 + 0 + 5 + 41 + 7 + 566 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17336988900 + 13204767744 = 131670^2 + 114912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30541756644.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 418380192 + ... + 418380264.

Almost surely, 2^30541756644 is an apocalyptic number.

30541756644 is the 174762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30541756644

30541756644 is an abundant number, since it is smaller than the sum of its proper divisors (68842640853).

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

30541756644 is a wasteful number, since it uses less digits than its factorization.

30541756644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 30541756644 in words is "thirty billion, five hundred forty-one million, seven hundred fifty-six thousand, six hundred forty-four".