318029912928 has 384 divisors, whose sum is σ = 1142828144640. Its totient is φ = 83789199360.

The previous prime is 318029912927. The next prime is 318029912947. The reversal of 318029912928 is 829219920813.

318029912928 is a `hidden beast` number, since 318 + 0 + 299 + 12 + 9 + 28 = 666.

318029912928 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×318029912928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318029912927) 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, 118799526 + ... + 118802202.

It is an arithmetic number, because the mean of its divisors is an integer number (2976114960).

Almost surely, 2^318029912928 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 318029912928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571414072320).

318029912928 is an abundant number, since it is smaller than the sum of its proper divisors (824798231712).

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

318029912928 is a wasteful number, since it uses less digits than its factorization.

318029912928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 318029912928 in words is "three hundred eighteen billion, twenty-nine million, nine hundred twelve thousand, nine hundred twenty-eight".