663137112300 has 144 divisors (see below), whose sum is σ = 2067847461792. Its totient is φ = 163108915200.

The previous prime is 663137112227. The next prime is 663137112331. The reversal of 663137112300 is 3211731366.

It is a super-2 number, since 2×663137112300² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5087542 + ... + 5216258.

It is an arithmetic number, because the mean of its divisors is an integer number (14360051818).

Almost surely, 2^663137112300 is an apocalyptic number.

663137112300 is a gapful number since it is divisible by the number (60) 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 663137112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033923730896).

663137112300 is an abundant number, since it is smaller than the sum of its proper divisors (1404710349492).

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

663137112300 is a wasteful number, since it uses less digits than its factorization.

663137112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130068 (or 130061 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

Adding to 663137112300 its reverse (3211731366), we get a palindrome (666348843666).

The spelling of 663137112300 in words is "six hundred sixty-three billion, one hundred thirty-seven million, one hundred twelve thousand, three hundred".