13453216128 has 320 divisors, whose sum is σ = 43986888000. Its totient is φ = 4047805440.

The previous prime is 13453216123. The next prime is 13453216129. The reversal of 13453216128 is 82161235431.

13453216128 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 32 + 1 + 612 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13453216092 and 13453216101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453216123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20414263 + ... + 20414921.

It is an arithmetic number, because the mean of its divisors is an integer number (137459025).

Almost surely, 2^13453216128 is an apocalyptic number.

13453216128 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 13453216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993444000).

13453216128 is an abundant number, since it is smaller than the sum of its proper divisors (30533671872).

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

13453216128 is a wasteful number, since it uses less digits than its factorization.

13453216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 854 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 13453216128 in words is "thirteen billion, four hundred fifty-three million, two hundred sixteen thousand, one hundred twenty-eight".