4314621168 has 400 divisors, whose sum is σ = 15164362752. Its totient is φ = 1166400000.

The previous prime is 4314621163. The next prime is 4314621169. The reversal of 4314621168 is 8611264134.

4314621168 is a `hidden beast` number, since 4 + 3 + 14 + 621 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314621163) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5744793 + ... + 5745543.

Almost surely, 2^4314621168 is an apocalyptic number.

4314621168 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 4314621168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582181376).

4314621168 is an abundant number, since it is smaller than the sum of its proper divisors (10849741584).

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

4314621168 is a wasteful number, since it uses less digits than its factorization.

4314621168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4314621168 is about 65685.7759945028. The cubic root of 4314621168 is about 1627.9743449484.

The spelling of 4314621168 in words is "four billion, three hundred fourteen million, six hundred twenty-one thousand, one hundred sixty-eight".