30829741056 has 297 divisors, whose sum is σ = 93569944143. Its totient is φ = 9776517120.

The previous prime is 30829740967. The next prime is 30829741079. The reversal of 30829741056 is 65014792803.

The square root of 30829741056 is 175584.

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

30829741056 is a `hidden beast` number, since 308 + 297 + 4 + 1 + 0 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 522537955 + ... + 522538013.

It is a 1-persistent number, because it is pandigital, but 2⋅30829741056 = 61659482112 is not.

Almost surely, 2^30829741056 is an apocalyptic number.

30829741056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30829741056 is the 175584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30829741056

30829741056 is an abundant number, since it is smaller than the sum of its proper divisors (62740203087).

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

30829741056 is an equidigital number, since it uses as much as digits as its factorization.

30829741056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30829741056 in words is "thirty billion, eight hundred twenty-nine million, seven hundred forty-one thousand, fifty-six".