224413551604116 has 432 divisors, whose sum is σ = 673070250565440. Its totient is φ = 62850216038400.

The previous prime is 224413551604103. The next prime is 224413551604129. The reversal of 224413551604116 is 611406155314422.

224413551604116 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 1 + 35 + 5 + 1 + 604 + 1 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (224413551604103) and next prime (224413551604129).

It is a super-2 number, since 2×224413551604116² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43331442015 + ... + 43331447193.

It is an arithmetic number, because the mean of its divisors is an integer number (1558032987420).

Almost surely, 2^{224413551604116} 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 224413551604116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336535125282720).

224413551604116 is an abundant number, since it is smaller than the sum of its proper divisors (448656698961324).

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

224413551604116 is a wasteful number, since it uses less digits than its factorization.

224413551604116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 224413551604116 in words is "two hundred twenty-four trillion, four hundred thirteen billion, five hundred fifty-one million, six hundred four thousand, one hundred sixteen".