4510198648032 has 864 divisors, whose sum is σ = 15416260675200. Its totient is φ = 1150178641920.

The previous prime is 4510198648013. The next prime is 4510198648037. The reversal of 4510198648032 is 2308468910154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4510198648037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8623706523 + ... + 8623707045.

It is an arithmetic number, because the mean of its divisors is an integer number (17842894300).

Almost surely, 2^{4510198648032} is an apocalyptic number.

4510198648032 is a gapful number since it is divisible by the number (42) 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 4510198648032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7708130337600).

4510198648032 is an abundant number, since it is smaller than the sum of its proper divisors (10906062027168).

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

4510198648032 is a wasteful number, since it uses less digits than its factorization.

4510198648032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 4510198648032 in words is "four trillion, five hundred ten billion, one hundred ninety-eight million, six hundred forty-eight thousand, thirty-two".