2144113632 has 96 divisors (see below), whose sum is σ = 6347174400. Its totient is φ = 704018304.

The previous prime is 2144113619. The next prime is 2144113639. The reversal of 2144113632 is 2363114412.

It is a happy number.

2144113632 is a `hidden beast` number, since 2 + 14 + 4 + 1 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2144113596 and 2144113605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144113639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39369 + ... + 76407.

It is an arithmetic number, because the mean of its divisors is an integer number (66116400).

Almost surely, 2^2144113632 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 2144113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173587200).

2144113632 is an abundant number, since it is smaller than the sum of its proper divisors (4203060768).

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

2144113632 is a wasteful number, since it uses less digits than its factorization.

2144113632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37125 (or 37111 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2144113632 is about 46304.5746336148. The cubic root of 2144113632 is about 1289.4839255312.

The spelling of 2144113632 in words is "two billion, one hundred forty-four million, one hundred thirteen thousand, six hundred thirty-two".