1864242144 has 72 divisors (see below), whose sum is σ = 5343287040. Its totient is φ = 616508928.

The previous prime is 1864242139. The next prime is 1864242157. The reversal of 1864242144 is 4412424681.

1864242144 is a `hidden beast` number, since 1 + 8 + 642 + 4 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 1864242099 and 1864242108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11092 + ... + 62060.

It is an arithmetic number, because the mean of its divisors is an integer number (74212320).

Almost surely, 2^1864242144 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 1864242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671643520).

1864242144 is an abundant number, since it is smaller than the sum of its proper divisors (3479044896).

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

1864242144 is a wasteful number, since it uses less digits than its factorization.

1864242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51112 (or 51101 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 1864242144 is about 43176.8704748271. The cubic root of 1864242144 is about 1230.7431875867.

The spelling of 1864242144 in words is "one billion, eight hundred sixty-four million, two hundred forty-two thousand, one hundred forty-four".