30648425354404 has 135 divisors (see below), whose sum is σ = 63909465987381. Its totient is φ = 12850842850560.

The previous prime is 30648425354399. The next prime is 30648425354441. The reversal of 30648425354404 is 40445352484603.

The square root of 30648425354404 is 5536102.

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

It can be written as a sum of positive squares in 7 ways, for example, as 27969311114404 + 2679114240000 = 5288602^2 + 1636800^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20583226492 + ... + 20583227980.

Almost surely, 2^{30648425354404} is an apocalyptic number.

30648425354404 is the 5536102-nd square number.

It is an amenable number.

30648425354404 is an abundant number, since it is smaller than the sum of its proper divisors (33261040632977).

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

30648425354404 is an frugal number, since it uses more digits than its factorization.

30648425354404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 52.

The spelling of 30648425354404 in words is "thirty trillion, six hundred forty-eight billion, four hundred twenty-five million, three hundred fifty-four thousand, four hundred four".