1369764144 has 120 divisors (see below), whose sum is σ = 4389888672. Its totient is φ = 390574080.

The previous prime is 1369764139. The next prime is 1369764157. The reversal of 1369764144 is 4414679631.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1369764144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657184 + ... + 659264.

Almost surely, 2^1369764144 is an apocalyptic number.

1369764144 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 1369764144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194944336).

1369764144 is an abundant number, since it is smaller than the sum of its proper divisors (3020124528).

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

1369764144 is a wasteful number, since it uses less digits than its factorization.

1369764144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2746 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1369764144 is about 37010.3248297012. The cubic root of 1369764144 is about 1110.5768027250.

It can be divided in two parts, 13697 and 64144, that added together give a square (77841 = 279²).

The spelling of 1369764144 in words is "one billion, three hundred sixty-nine million, seven hundred sixty-four thousand, one hundred forty-four".