4450215168 has 720 divisors, whose sum is σ = 16715145216. Its totient is φ = 1149603840.

The previous prime is 4450215157. The next prime is 4450215197. The reversal of 4450215168 is 8615120544.

It is a happy number.

4450215168 is a `hidden beast` number, since 44 + 502 + 1 + 51 + 68 = 666.

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

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, 103493355 + ... + 103493397.

Almost surely, 2^4450215168 is an apocalyptic number.

4450215168 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 4450215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357572608).

4450215168 is an abundant number, since it is smaller than the sum of its proper divisors (12264930048).

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

4450215168 is a wasteful number, since it uses less digits than its factorization.

4450215168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4450215168 is about 66709.9330534816. The cubic root of 4450215168 is about 1644.8526665347.

The spelling of 4450215168 in words is "four billion, four hundred fifty million, two hundred fifteen thousand, one hundred sixty-eight".