8153478144 has 528 divisors, whose sum is σ = 28993642496. Its totient is φ = 2239488000.

The previous prime is 8153478133. The next prime is 8153478149. The reversal of 8153478144 is 4418743518.

8153478144 is a `hidden beast` number, since 8 + 1 + 534 + 78 + 1 + 44 = 666.

Its product of digits (430080) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 8153478144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8153478149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53996469 + ... + 53996619.

Almost surely, 2^8153478144 is an apocalyptic number.

8153478144 is a gapful number since it is divisible by the number (84) 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 8153478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496821248).

8153478144 is an abundant number, since it is smaller than the sum of its proper divisors (20840164352).

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

8153478144 is a wasteful number, since it uses less digits than its factorization.

8153478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 8153478144 is about 90296.6120294665. The cubic root of 8153478144 is about 2012.7089160020.

The spelling of 8153478144 in words is "eight billion, one hundred fifty-three million, four hundred seventy-eight thousand, one hundred forty-four".