13466666400 has 144 divisors (see below), whose sum is σ = 47819001888. Its totient is φ = 3264640000.

The previous prime is 13466666387. The next prime is 13466666401. The reversal of 13466666400 is 466666431.

It is a super-2 number, since 2×13466666400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13466666401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228651 + ... + 281450.

It is an arithmetic number, because the mean of its divisors is an integer number (332076402).

Almost surely, 2^13466666400 is an apocalyptic number.

13466666400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13466666400 is an abundant number, since it is smaller than the sum of its proper divisors (34352335488).

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

13466666400 is a wasteful number, since it uses less digits than its factorization.

13466666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510135 (or 510122 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 13466666400 in words is "thirteen billion, four hundred sixty-six million, six hundred sixty-six thousand, four hundred".