4465418112 has 256 divisors, whose sum is σ = 13841971200. Its totient is φ = 1415522304.

The previous prime is 4465418107. The next prime is 4465418129. The reversal of 4465418112 is 2118145644.

4465418112 is a `hidden beast` number, since 4 + 465 + 4 + 181 + 12 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6009613 + ... + 6010355.

It is an arithmetic number, because the mean of its divisors is an integer number (54070200).

Almost surely, 2^4465418112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4465418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920985600).

4465418112 is an abundant number, since it is smaller than the sum of its proper divisors (9376553088).

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

4465418112 is a wasteful number, since it uses less digits than its factorization.

4465418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 832 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4465418112 is about 66823.7840293409. The cubic root of 4465418112 is about 1646.7236008514.

The spelling of 4465418112 in words is "four billion, four hundred sixty-five million, four hundred eighteen thousand, one hundred twelve".