30906661509376 has 81 divisors (see below), whose sum is σ = 64495770986731. Its totient is φ = 14780468358656.

The previous prime is 30906661509359. The next prime is 30906661509377. The reversal of 30906661509376 is 67390516660903.

The square root of 30906661509376 is 5559376.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30906661509377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2045842815 + ... + 2045857921.

Almost surely, 2^{30906661509376} is an apocalyptic number.

30906661509376 is the 5559376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30906661509376

30906661509376 is an abundant number, since it is smaller than the sum of its proper divisors (33589109477355).

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

30906661509376 is an frugal number, since it uses more digits than its factorization.

30906661509376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30276 (or 15132 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 61.

The spelling of 30906661509376 in words is "thirty trillion, nine hundred six billion, six hundred sixty-one million, five hundred nine thousand, three hundred seventy-six".