13663061600 has 144 divisors (see below), whose sum is σ = 34007979600. Its totient is φ = 5359257600.

The previous prime is 13663061597. The next prime is 13663061603. The reversal of 13663061600 is 616036631.

It is an interprime number because it is at equal distance from previous prime (13663061597) and next prime (13663061603).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663061603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9892910 + ... + 9894290.

It is an arithmetic number, because the mean of its divisors is an integer number (236166525).

Almost surely, 2^13663061600 is an apocalyptic number.

13663061600 is a gapful number since it is divisible by the number (10) 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 13663061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003989800).

13663061600 is an abundant number, since it is smaller than the sum of its proper divisors (20344918000).

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

13663061600 is a wasteful number, since it uses less digits than its factorization.

13663061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 13663061600 in words is "thirteen billion, six hundred sixty-three million, sixty-one thousand, six hundred".