13770466000 has 40 divisors (see below), whose sum is σ = 33296991624. Its totient is φ = 5508185600.

The previous prime is 13770465967. The next prime is 13770466001. The reversal of 13770466000 is 66407731.

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 13767736896 = 1652^2 + 117336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13770466001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3440617 + ... + 3444616.

Almost surely, 2^13770466000 is an apocalyptic number.

13770466000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13770466000 is an abundant number, since it is smaller than the sum of its proper divisors (19526525624).

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

13770466000 is an equidigital number, since it uses as much as digits as its factorization.

13770466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885256 (or 6885240 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 13770466000 in words is "thirteen billion, seven hundred seventy million, four hundred sixty-six thousand".