8149572144 has 360 divisors, whose sum is σ = 27660372480. Its totient is φ = 2193073920.

The previous prime is 8149572127. The next prime is 8149572157. The reversal of 8149572144 is 4412759418.

8149572144 is a `hidden beast` number, since 81 + 495 + 72 + 14 + 4 = 666.

It is a super-2 number, since 2×8149572144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8149572144.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45528247 + ... + 45528425.

It is an arithmetic number, because the mean of its divisors is an integer number (76834368).

Almost surely, 2^8149572144 is an apocalyptic number.

8149572144 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 8149572144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830186240).

8149572144 is an abundant number, since it is smaller than the sum of its proper divisors (19510800336).

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

8149572144 is a wasteful number, since it uses less digits than its factorization.

8149572144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 269 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 8149572144 is about 90274.9807200201. The cubic root of 8149572144 is about 2012.3874623181.

The spelling of 8149572144 in words is "eight billion, one hundred forty-nine million, five hundred seventy-two thousand, one hundred forty-four".