4614449664 has 160 divisors (see below), whose sum is σ = 13666428864. Its totient is φ = 1371668480.

The previous prime is 4614449659. The next prime is 4614449683. The reversal of 4614449664 is 4669444164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892912 + ... + 898064.

Almost surely, 2^4614449664 is an apocalyptic number.

4614449664 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 4614449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833214432).

4614449664 is an abundant number, since it is smaller than the sum of its proper divisors (9051979200).

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

4614449664 is a wasteful number, since it uses less digits than its factorization.

4614449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5222 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 4614449664 is about 67929.7406442863. The cubic root of 4614449664 is about 1664.8430762296.

The spelling of 4614449664 in words is "four billion, six hundred fourteen million, four hundred forty-nine thousand, six hundred sixty-four".