4281346368 has 560 divisors, whose sum is σ = 15009747984. Its totient is φ = 1194393600.

The previous prime is 4281346319. The next prime is 4281346393. The reversal of 4281346368 is 8636431824.

4281346368 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 3 + 4 + 636 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 888516864 + 3392829504 = 29808^2 + 58248^2 .

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

Its product of digits (663552) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42389518 + ... + 42389618.

Almost surely, 2^4281346368 is an apocalyptic number.

4281346368 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 4281346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504873992).

4281346368 is an abundant number, since it is smaller than the sum of its proper divisors (10728401616).

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

4281346368 is a wasteful number, since it uses less digits than its factorization.

4281346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4281346368 is about 65431.9980437706. The cubic root of 4281346368 is about 1623.7785052253.

The spelling of 4281346368 in words is "four billion, two hundred eighty-one million, three hundred forty-six thousand, three hundred sixty-eight".