8454148128 has 144 divisors (see below), whose sum is σ = 24830245440. Its totient is φ = 2726825472.

The previous prime is 8454148099. The next prime is 8454148151. The reversal of 8454148128 is 8218414548.

8454148128 is a `hidden beast` number, since 8 + 4 + 541 + 4 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346725 + ... + 1352987.

It is an arithmetic number, because the mean of its divisors is an integer number (172432260).

Almost surely, 2^8454148128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8454148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415122720).

8454148128 is an abundant number, since it is smaller than the sum of its proper divisors (16376097312).

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

8454148128 is a wasteful number, since it uses less digits than its factorization.

8454148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6420 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 8454148128 is about 91946.4416277215. The cubic root of 8454148128 is about 2037.1512949009.

The spelling of 8454148128 in words is "eight billion, four hundred fifty-four million, one hundred forty-eight thousand, one hundred twenty-eight".