104314420224 has 264 divisors, whose sum is σ = 350741495520. Its totient is φ = 29240819712.

The previous prime is 104314420219. The next prime is 104314420241. The reversal of 104314420224 is 422024413401.

104314420224 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 14 + 420 + 224 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3403882 + ... + 3434390.

Almost surely, 2^104314420224 is an apocalyptic number.

104314420224 is a gapful number since it is divisible by the number (14) 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 104314420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175370747760).

104314420224 is an abundant number, since it is smaller than the sum of its proper divisors (246427075296).

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

104314420224 is a wasteful number, since it uses less digits than its factorization.

104314420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30595 (or 30574 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104314420224 its reverse (422024413401), we get a palindrome (526338833625).

The spelling of 104314420224 in words is "one hundred four billion, three hundred fourteen million, four hundred twenty thousand, two hundred twenty-four".