13664361100 has 288 divisors, whose sum is σ = 35032757760. Its totient is φ = 4582656000.

The previous prime is 13664361097. The next prime is 13664361107. The reversal of 13664361100 is 116346631.

It is not an unprimeable number, because it can be changed into a prime (13664361107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104308035 + ... + 104308165.

It is an arithmetic number, because the mean of its divisors is an integer number (121641520).

Almost surely, 2^13664361100 is an apocalyptic number.

13664361100 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 13664361100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516378880).

13664361100 is an abundant number, since it is smaller than the sum of its proper divisors (21368396660).

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

13664361100 is a wasteful number, since it uses less digits than its factorization.

13664361100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13664361100 in words is "thirteen billion, six hundred sixty-four million, three hundred sixty-one thousand, one hundred".