1144114000 has 80 divisors (see below), whose sum is σ = 2841420816. Its totient is φ = 445248000.

The previous prime is 1144113941. The next prime is 1144114057. The reversal of 1144114000 is 4114411.

It can be written as a sum of positive squares in 8 ways, for example, as 297769536 + 846344464 = 17256^2 + 29092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66270 + ... + 81730.

Almost surely, 2^1144114000 is an apocalyptic number.

1144114000 is a gapful number since it is divisible by the number (10) 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 1144114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420710408).

1144114000 is an abundant number, since it is smaller than the sum of its proper divisors (1697306816).

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

1144114000 is a wasteful number, since it uses less digits than its factorization.

1144114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15521 (or 15505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1144114000 is about 33824.7542489225. The cubic root of 1144114000 is about 1045.8990454452.

Adding to 1144114000 its reverse (4114411), we get a palindrome (1148228411).

It can be divided in two parts, 114 and 4114000, that added together give a palindrome (4114114).

The spelling of 1144114000 in words is "one billion, one hundred forty-four million, one hundred fourteen thousand".