4601600016 has 160 divisors (see below), whose sum is σ = 13218403968. Its totient is φ = 1370234880.

The previous prime is 4601600009. The next prime is 4601600021. The reversal of 4601600016 is 6100061064.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 5563795 + ... + 5564621.

Almost surely, 2^4601600016 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 4601600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609201984).

4601600016 is an abundant number, since it is smaller than the sum of its proper divisors (8616803952).

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

4601600016 is a wasteful number, since it uses less digits than its factorization.

4601600016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4601600016 is about 67835.0942801733. The cubic root of 4601600016 is about 1663.2963020106.

The spelling of 4601600016 in words is "four billion, six hundred one million, six hundred thousand, sixteen".