4306446144 has 756 divisors, whose sum is σ = 17172268932. Its totient is φ = 1021870080.

The previous prime is 4306446139. The next prime is 4306446223. The reversal of 4306446144 is 4416446034.

4306446144 is a `hidden beast` number, since 4 + 3 + 0 + 644 + 6 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1232852544 + 3073593600 = 35112^2 + 55440^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4306446099 and 4306446108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44396304 + ... + 44396400.

Almost surely, 2^4306446144 is an apocalyptic number.

4306446144 is a gapful number since it is divisible by the number (44) 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 4306446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586134466).

4306446144 is an abundant number, since it is smaller than the sum of its proper divisors (12865822788).

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

4306446144 is a wasteful number, since it uses less digits than its factorization.

4306446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4306446144 is about 65623.5182232711. The cubic root of 4306446144 is about 1626.9455065602.

The spelling of 4306446144 in words is "four billion, three hundred six million, four hundred forty-six thousand, one hundred forty-four".