104444100144450 has 192 divisors, whose sum is σ = 314017795146240. Its totient is φ = 25315547976000.

The previous prime is 104444100144443. The next prime is 104444100144467. The reversal of 104444100144450 is 54441001444401.

104444100144450 is a `hidden beast` number, since 10 + 4 + 4 + 44 + 10 + 0 + 144 + 450 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88678317 + ... + 89848383.

It is an arithmetic number, because the mean of its divisors is an integer number (1635509349720).

Almost surely, 2^{104444100144450} is an apocalyptic number.

104444100144450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104444100144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157008897573120).

104444100144450 is an abundant number, since it is smaller than the sum of its proper divisors (209573695001790).

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

104444100144450 is a wasteful number, since it uses less digits than its factorization.

104444100144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176110 (or 1176099 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 104444100144450 its reverse (54441001444401), we get a palindrome (158885101588851).

The spelling of 104444100144450 in words is "one hundred four trillion, four hundred forty-four billion, one hundred million, one hundred forty-four thousand, four hundred fifty".