918227053800 has 1536 divisors, whose sum is σ = 3875751936000. Its totient is φ = 195432652800.

The previous prime is 918227053769. The next prime is 918227053801. The reversal of 918227053800 is 8350722819.

It is a happy number.

918227053800 is a `hidden beast` number, since 91 + 8 + 2 + 27 + 0 + 538 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (918227053801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3841954081 + ... + 3841954319.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276000).

Almost surely, 2^918227053800 is an apocalyptic number.

918227053800 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 918227053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937875968000).

918227053800 is an abundant number, since it is smaller than the sum of its proper divisors (2957524882200).

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

918227053800 is a wasteful number, since it uses less digits than its factorization.

918227053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 918227053800 in words is "nine hundred eighteen billion, two hundred twenty-seven million, fifty-three thousand, eight hundred".