930531604128 has 384 divisors, whose sum is σ = 2985981014016. Its totient is φ = 247683072000.

The previous prime is 930531604087. The next prime is 930531604129. The reversal of 930531604128 is 821406135039.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 930531604128.

It is not an unprimeable number, because it can be changed into a prime (930531604129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049076901 + ... + 1049077787.

It is an arithmetic number, because the mean of its divisors is an integer number (7775992224).

Almost surely, 2^930531604128 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 930531604128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492990507008).

930531604128 is an abundant number, since it is smaller than the sum of its proper divisors (2055449409888).

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

930531604128 is a wasteful number, since it uses less digits than its factorization.

930531604128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 930531604128 in words is "nine hundred thirty billion, five hundred thirty-one million, six hundred four thousand, one hundred twenty-eight".