13146489216 has 160 divisors (see below), whose sum is σ = 44713091280. Its totient is φ = 3756119040.

The previous prime is 13146489193. The next prime is 13146489217. The reversal of 13146489216 is 61298464131.

13146489216 is a `hidden beast` number, since 1 + 3 + 146 + 489 + 21 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146489217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17995 + ... + 163146.

Almost surely, 2^13146489216 is an apocalyptic number.

13146489216 is a gapful number since it is divisible by the number (16) 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 13146489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356545640).

13146489216 is an abundant number, since it is smaller than the sum of its proper divisors (31566602064).

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

13146489216 is an equidigital number, since it uses as much as digits as its factorization.

13146489216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181174 (or 181153 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 13146489216 in words is "thirteen billion, one hundred forty-six million, four hundred eighty-nine thousand, two hundred sixteen".