930132384804 has 144 divisors (see below), whose sum is σ = 2725792183296. Its totient is φ = 261922852800.

The previous prime is 930132384791. The next prime is 930132384821. The reversal of 930132384804 is 408483231039.

930132384804 is a `hidden beast` number, since 9 + 3 + 0 + 132 + 38 + 480 + 4 = 666.

It is a super-2 number, since 2×930132384804² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 930132384804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70613139 + ... + 70626309.

It is an arithmetic number, because the mean of its divisors is an integer number (18929112384).

Almost surely, 2^930132384804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930132384804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362896091648).

930132384804 is an abundant number, since it is smaller than the sum of its proper divisors (1795659798492).

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

930132384804 is a wasteful number, since it uses less digits than its factorization.

930132384804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17206 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 930132384804 in words is "nine hundred thirty billion, one hundred thirty-two million, three hundred eighty-four thousand, eight hundred four".