918008812800 has 1728 divisors, whose sum is σ = 3733711027200. Its totient is φ = 219768422400.

The previous prime is 918008812771. The next prime is 918008812811. The reversal of 918008812800 is 8218800819.

918008812800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8422099146 + ... + 8422099254.

It is an arithmetic number, because the mean of its divisors is an integer number (2160712400).

Almost surely, 2^918008812800 is an apocalyptic number.

918008812800 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 918008812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866855513600).

918008812800 is an abundant number, since it is smaller than the sum of its proper divisors (2815702214400).

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

918008812800 is a wasteful number, since it uses less digits than its factorization.

918008812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 918008812800 in words is "nine hundred eighteen billion, eight million, eight hundred twelve thousand, eight hundred".