1144113265152 has 640 divisors, whose sum is σ = 3990682080000. Its totient is φ = 319071191040.

The previous prime is 1144113265121. The next prime is 1144113265181. The reversal of 1144113265152 is 2515623114411.

1144113265152 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 132 + 6 + 515 + 2 = 666.

It is a super-3 number, since 3×1144113265152³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887596924 + ... + 887598212.

It is an arithmetic number, because the mean of its divisors is an integer number (6235440750).

Almost surely, 2^{1144113265152} is an apocalyptic number.

1144113265152 is a gapful number since it is divisible by the number (12) 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 1144113265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995341040000).

1144113265152 is an abundant number, since it is smaller than the sum of its proper divisors (2846568814848).

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

1144113265152 is a wasteful number, since it uses less digits than its factorization.

1144113265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1767 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 1144113265152 its reverse (2515623114411), we get a palindrome (3659736379563).

The spelling of 1144113265152 in words is "one trillion, one hundred forty-four billion, one hundred thirteen million, two hundred sixty-five thousand, one hundred fifty-two".