110447468041338 has 128 divisors (see below), whose sum is σ = 253073229465600. Its totient is φ = 35688841344000.

The previous prime is 110447468041301. The next prime is 110447468041349. The reversal of 110447468041338 is 833140864744011.

110447468041338 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 47 + 468 + 0 + 4 + 133 + 8 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 138061858 + ... + 138859538.

It is an arithmetic number, because the mean of its divisors is an integer number (1977134605200).

Almost surely, 2^{110447468041338} is an apocalyptic number.

110447468041338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110447468041338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126536614732800).

110447468041338 is an abundant number, since it is smaller than the sum of its proper divisors (142625761424262).

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

110447468041338 is a wasteful number, since it uses less digits than its factorization.

110447468041338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798325 (or 798319 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 110447468041338 in words is "one hundred ten trillion, four hundred forty-seven billion, four hundred sixty-eight million, forty-one thousand, three hundred thirty-eight".