1601445664 has 96 divisors (see below), whose sum is σ = 3963326976. Its totient is φ = 620006400.

The previous prime is 1601445641. The next prime is 1601445667. The reversal of 1601445664 is 4665441061.

It is not an unprimeable number, because it can be changed into a prime (1601445667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131014 + ... + 142714.

It is an arithmetic number, because the mean of its divisors is an integer number (41284656).

Almost surely, 2^1601445664 is an apocalyptic number.

1601445664 is a gapful number since it is divisible by the number (14) 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 1601445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981663488).

1601445664 is an abundant number, since it is smaller than the sum of its proper divisors (2361881312).

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

1601445664 is a wasteful number, since it uses less digits than its factorization.

1601445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11770 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 1601445664 is about 40018.0667199204. The cubic root of 1601445664 is about 1169.9592515090.

The spelling of 1601445664 in words is "one billion, six hundred one million, four hundred forty-five thousand, six hundred sixty-four".