930545885376 has 168 divisors, whose sum is σ = 2674953079344. Its totient is φ = 309286748160.

The previous prime is 930545885371. The next prime is 930545885383. The reversal of 930545885376 is 673588545039.

930545885376 is a `hidden beast` number, since 9 + 3 + 0 + 545 + 8 + 85 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×930545885376² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (930545885371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 388860436 + ... + 388862828.

It is an arithmetic number, because the mean of its divisors is an integer number (15922339758).

Almost surely, 2^930545885376 is an apocalyptic number.

930545885376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930545885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337476539672).

930545885376 is an abundant number, since it is smaller than the sum of its proper divisors (1744407193968).

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

930545885376 is a wasteful number, since it uses less digits than its factorization.

930545885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 930545885376 in words is "nine hundred thirty billion, five hundred forty-five million, eight hundred eighty-five thousand, three hundred seventy-six".