13388466000 has 960 divisors, whose sum is σ = 56312395776. Its totient is φ = 2709504000.

The previous prime is 13388465983. The next prime is 13388466029. The reversal of 13388466000 is 66488331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13388466000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118481944 + ... + 118482056.

Almost surely, 2^13388466000 is an apocalyptic number.

13388466000 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 13388466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28156197888).

13388466000 is an abundant number, since it is smaller than the sum of its proper divisors (42923929776).

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

13388466000 is a wasteful number, since it uses less digits than its factorization.

13388466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13388466000 in words is "thirteen billion, three hundred eighty-eight million, four hundred sixty-six thousand".