918345212928 has 704 divisors, whose sum is σ = 3334415616000. Its totient is φ = 245686763520.

The previous prime is 918345212909. The next prime is 918345212969. The reversal of 918345212928 is 829212543819.

918345212928 is a `hidden beast` number, since 9 + 1 + 8 + 345 + 2 + 1 + 292 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

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 63 ways as a sum of consecutive naturals, for example, 90929223 + ... + 90939321.

Almost surely, 2^918345212928 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 918345212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667207808000).

918345212928 is an abundant number, since it is smaller than the sum of its proper divisors (2416070403072).

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

918345212928 is a wasteful number, since it uses less digits than its factorization.

918345212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10151 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 918345212928 in words is "nine hundred eighteen billion, three hundred forty-five million, two hundred twelve thousand, nine hundred twenty-eight".