930553481104 has 75 divisors (see below), whose sum is σ = 1954557419447. Its totient is φ = 429185250624.

The previous prime is 930553481101. The next prime is 930553481147. The reversal of 930553481104 is 401184355039.

The square root of 930553481104 is 964652.

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

It can be written as a sum of positive squares in 2 ways, for example, as 461383279504 + 469170201600 = 679252^2 + 684960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (930553481101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 652104039 + ... + 652105465.

Almost surely, 2^930553481104 is an apocalyptic number.

930553481104 is the 964652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930553481104

930553481104 is an abundant number, since it is smaller than the sum of its proper divisors (1024003938343).

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

930553481104 is an frugal number, since it uses more digits than its factorization.

930553481104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 930553481104 in words is "nine hundred thirty billion, five hundred fifty-three million, four hundred eighty-one thousand, one hundred four".