918799081200 has 1920 divisors, whose sum is σ = 4511451248640. Its totient is φ = 171395481600.

The previous prime is 918799081181. The next prime is 918799081217. The reversal of 918799081200 is 2180997819.

It is a super-2 number, since 2×918799081200² (a number of 25 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 399998452 + ... + 400000748.

It is an arithmetic number, because the mean of its divisors is an integer number (2349714192).

Almost surely, 2^918799081200 is an apocalyptic number.

918799081200 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 918799081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255725624320).

918799081200 is an abundant number, since it is smaller than the sum of its proper divisors (3592652167440).

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

918799081200 is a wasteful number, since it uses less digits than its factorization.

918799081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 918799081200 in words is "nine hundred eighteen billion, seven hundred ninety-nine million, eighty-one thousand, two hundred".