13375145448 has 144 divisors (see below), whose sum is σ = 43591918500. Its totient is φ = 3689667072.

The previous prime is 13375145431. The next prime is 13375145453. The reversal of 13375145448 is 84454157331.

13375145448 is a `hidden beast` number, since 1 + 33 + 75 + 1 + 4 + 544 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13330549764 + 44595684 = 115458^2 + 6678^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36948 + ... + 167676.

Almost surely, 2^13375145448 is an apocalyptic number.

13375145448 is a gapful number since it is divisible by the number (18) 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 13375145448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795959250).

13375145448 is an abundant number, since it is smaller than the sum of its proper divisors (30216773052).

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

13375145448 is a wasteful number, since it uses less digits than its factorization.

13375145448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130784 (or 130770 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 13375145448 in words is "thirteen billion, three hundred seventy-five million, one hundred forty-five thousand, four hundred forty-eight".