1359684144 has 480 divisors, whose sum is σ = 5030719680. Its totient is φ = 352719360.

The previous prime is 1359684143. The next prime is 1359684167. The reversal of 1359684144 is 4414869531.

1359684144 is a `hidden beast` number, since 13 + 596 + 8 + 4 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1359684144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359684143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22289874 + ... + 22289934.

It is an arithmetic number, because the mean of its divisors is an integer number (10480666).

Almost surely, 2^1359684144 is an apocalyptic number.

1359684144 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 1359684144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515359840).

1359684144 is an abundant number, since it is smaller than the sum of its proper divisors (3671035536).

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

1359684144 is an equidigital number, since it uses as much as digits as its factorization.

1359684144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1359684144 is about 36873.8951563298. The cubic root of 1359684144 is about 1107.8458734209.

The spelling of 1359684144 in words is "one billion, three hundred fifty-nine million, six hundred eighty-four thousand, one hundred forty-four".