30145293376 has 63 divisors (see below), whose sum is σ = 65785428373. Its totient is φ = 13695461120.

The previous prime is 30145293349. The next prime is 30145293377. The reversal of 30145293376 is 67339254103.

It is a happy number.

The square root of 30145293376 is 173624.

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

It can be written as a sum of positive squares in only one way, i.e., 6483470400 + 23661822976 = 80520^2 + 153824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30145293377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15277926 + ... + 15279898.

Almost surely, 2^30145293376 is an apocalyptic number.

30145293376 is the 173624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30145293376

30145293376 is an abundant number, since it is smaller than the sum of its proper divisors (35640134997).

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

30145293376 is an frugal number, since it uses more digits than its factorization.

30145293376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 30145293376 in words is "thirty billion, one hundred forty-five million, two hundred ninety-three thousand, three hundred seventy-six".