13146454080 has 252 divisors, whose sum is σ = 47275295340. Its totient is φ = 3352909824.

The previous prime is 13146454067. The next prime is 13146454081. The reversal of 13146454080 is 8045464131.

13146454080 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 645 + 4 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7510648896 + 5635805184 = 86664^2 + 75072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13146454081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1519206 + ... + 1527834.

Almost surely, 2^13146454080 is an apocalyptic number.

13146454080 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 13146454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637647670).

13146454080 is an abundant number, since it is smaller than the sum of its proper divisors (34128841260).

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

13146454080 is a wasteful number, since it uses less digits than its factorization.

13146454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13146454080 in words is "thirteen billion, one hundred forty-six million, four hundred fifty-four thousand, eighty".