918845314920 has 768 divisors, whose sum is σ = 3450807360000. Its totient is φ = 218421743616.

The previous prime is 918845314913. The next prime is 918845314921. The reversal of 918845314920 is 29413548819.

It is a happy number.

918845314920 is a `hidden beast` number, since 9 + 1 + 8 + 84 + 531 + 4 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (918845314921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 696622021 + ... + 696623339.

It is an arithmetic number, because the mean of its divisors is an integer number (4493238750).

Almost surely, 2^918845314920 is an apocalyptic number.

918845314920 is a gapful number since it is divisible by the number (90) 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 918845314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725403680000).

918845314920 is an abundant number, since it is smaller than the sum of its proper divisors (2531962045080).

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

918845314920 is a wasteful number, since it uses less digits than its factorization.

918845314920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1528 counting only the distinct ones).

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

The spelling of 918845314920 in words is "nine hundred eighteen billion, eight hundred forty-five million, three hundred fourteen thousand, nine hundred twenty".