1144826265600 has 960 divisors, whose sum is σ = 4318597118880. Its totient is φ = 300987187200.

The previous prime is 1144826265599. The next prime is 1144826265607. The reversal of 1144826265600 is 65626284411.

It is a happy number.

1144826265600 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 82 + 6 + 2 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144826265607) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16124313565 + ... + 16124313635.

Almost surely, 2^{1144826265600} is an apocalyptic number.

1144826265600 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 1144826265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159298559440).

1144826265600 is an abundant number, since it is smaller than the sum of its proper divisors (3173770853280).

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

1144826265600 is an frugal number, since it uses more digits than its factorization.

1144826265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1144826265600 in words is "one trillion, one hundred forty-four billion, eight hundred twenty-six million, two hundred sixty-five thousand, six hundred".