5613642144 has 144 divisors (see below), whose sum is σ = 18060325920. Its totient is φ = 1701077760.

The previous prime is 5613642079. The next prime is 5613642163. The reversal of 5613642144 is 4412463165.

5613642144 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 642 + 1 + 4 + 4 = 666.

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

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 = 5613642099 and 5613642108.

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, 52722 + ... + 118350.

It is an arithmetic number, because the mean of its divisors is an integer number (125418930).

Almost surely, 2^5613642144 is an apocalyptic number.

5613642144 is a gapful number since it is divisible by the number (54) 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 5613642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9030162960).

5613642144 is an abundant number, since it is smaller than the sum of its proper divisors (12446683776).

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

5613642144 is a wasteful number, since it uses less digits than its factorization.

5613642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65665 (or 65645 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5613642144 is about 74924.2426988755. The cubic root of 5613642144 is about 1777.2488477068.

The spelling of 5613642144 in words is "five billion, six hundred thirteen million, six hundred forty-two thousand, one hundred forty-four".