13664013000 has 128 divisors (see below), whose sum is σ = 46507443840. Its totient is φ = 3312480000.

The previous prime is 13664012951. The next prime is 13664013037. The reversal of 13664013000 is 31046631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174031 + ... + 240030.

It is an arithmetic number, because the mean of its divisors is an integer number (363339405).

Almost surely, 2^13664013000 is an apocalyptic number.

13664013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13664013000 is an abundant number, since it is smaller than the sum of its proper divisors (32843430840).

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

13664013000 is a wasteful number, since it uses less digits than its factorization.

13664013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414096 (or 414082 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13664013000 its reverse (31046631), we get a palindrome (13695059631).

The spelling of 13664013000 in words is "thirteen billion, six hundred sixty-four million, thirteen thousand".