30620800144 has 135 divisors (see below), whose sum is σ = 67537053003. Its totient is φ = 13439078400.

The previous prime is 30620800117. The next prime is 30620800153. The reversal of 30620800144 is 44100802603.

The square root of 30620800144 is 174988.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10196960400 + 20423839744 = 100980^2 + 142912^2 .

It is a Duffinian number.

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, 315678304 + ... + 315678400.

Almost surely, 2^30620800144 is an apocalyptic number.

30620800144 is the 174988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30620800144

30620800144 is an abundant number, since it is smaller than the sum of its proper divisors (36916252859).

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

30620800144 is an equidigital number, since it uses as much as digits as its factorization.

30620800144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 30620800144 in words is "thirty billion, six hundred twenty million, eight hundred thousand, one hundred forty-four".