5161482144 has 288 divisors, whose sum is σ = 18650870784. Its totient is φ = 1317150720.

The previous prime is 5161482127. The next prime is 5161482241. The reversal of 5161482144 is 4412841615.

5161482144 is a `hidden beast` number, since 5 + 161 + 482 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5161482099 and 5161482108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809272 + ... + 815624.

It is an arithmetic number, because the mean of its divisors is an integer number (64759968).

Almost surely, 2^5161482144 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 5161482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325435392).

5161482144 is an abundant number, since it is smaller than the sum of its proper divisors (13489388640).

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

5161482144 is a wasteful number, since it uses less digits than its factorization.

5161482144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6409 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5161482144 is about 71843.4558188844. The cubic root of 5161482144 is about 1728.1899546838.

The spelling of 5161482144 in words is "five billion, one hundred sixty-one million, four hundred eighty-two thousand, one hundred forty-four".