4600223614368 has 288 divisors, whose sum is σ = 13838206427136. Its totient is φ = 1502977690368.

The previous prime is 4600223614367. The next prime is 4600223614379. The reversal of 4600223614368 is 8634163220064.

4600223614368 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 2 + 23 + 614 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4600223614367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81938755 + ... + 81994877.

It is an arithmetic number, because the mean of its divisors is an integer number (48049327872).

Almost surely, 2^{4600223614368} is an apocalyptic number.

4600223614368 is a gapful number since it is divisible by the number (48) 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 4600223614368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919103213568).

4600223614368 is an abundant number, since it is smaller than the sum of its proper divisors (9237982812768).

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

4600223614368 is a wasteful number, since it uses less digits than its factorization.

4600223614368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56358 (or 56338 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4600223614368 in words is "four trillion, six hundred billion, two hundred twenty-three million, six hundred fourteen thousand, three hundred sixty-eight".