4454741664 has 192 divisors, whose sum is σ = 13644288000. Its totient is φ = 1412156160.

The previous prime is 4454741663. The next prime is 4454741677. The reversal of 4454741664 is 4661474544.

4454741664 is a `hidden beast` number, since 4 + 4 + 547 + 41 + 6 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (4454741663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1578847 + ... + 1581665.

It is an arithmetic number, because the mean of its divisors is an integer number (71064000).

Almost surely, 2^4454741664 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 4454741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822144000).

4454741664 is an abundant number, since it is smaller than the sum of its proper divisors (9189546336).

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

4454741664 is a wasteful number, since it uses less digits than its factorization.

4454741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2914 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 4454741664 is about 66743.8511325201. The cubic root of 4454741664 is about 1645.4101598852.

The spelling of 4454741664 in words is "four billion, four hundred fifty-four million, seven hundred forty-one thousand, six hundred sixty-four".