1869606144 has 288 divisors, whose sum is σ = 6693200640. Its totient is φ = 502530048.

The previous prime is 1869606143. The next prime is 1869606157. The reversal of 1869606144 is 4416069681.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1869606144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1869606143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821392 + ... + 823664.

It is an arithmetic number, because the mean of its divisors is an integer number (23240280).

Almost surely, 2^1869606144 is an apocalyptic number.

1869606144 is a gapful number since it is divisible by the number (14) 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 1869606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346600320).

1869606144 is an abundant number, since it is smaller than the sum of its proper divisors (4823594496).

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

1869606144 is a wasteful number, since it uses less digits than its factorization.

1869606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1869606144 is about 43238.9424477519. The cubic root of 1869606144 is about 1231.9224665886.

The spelling of 1869606144 in words is "one billion, eight hundred sixty-nine million, six hundred six thousand, one hundred forty-four".