109800054226944 has 512 divisors, whose sum is σ = 348722031859200. Its totient is φ = 34446693629952.

The previous prime is 109800054226943. The next prime is 109800054227009. The reversal of 109800054226944 is 449622450008901.

109800054226944 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 0 + 0 + 0 + 542 + 2 + 6 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×109800054226944² (a number of 29 digits) contains 22 as substring.

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 (109800054226943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218236409 + ... + 1218326535.

It is an arithmetic number, because the mean of its divisors is an integer number (681097718475).

Almost surely, 2^{109800054226944} 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 109800054226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174361015929600).

109800054226944 is an abundant number, since it is smaller than the sum of its proper divisors (238921977632256).

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

109800054226944 is an frugal number, since it uses more digits than its factorization.

109800054226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90195 (or 90149 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 109800054226944 in words is "one hundred nine trillion, eight hundred billion, fifty-four million, two hundred twenty-six thousand, nine hundred forty-four".