1144147834368 has 1920 divisors, whose sum is σ = 4647611105280. Its totient is φ = 261890703360.

The previous prime is 1144147834363. The next prime is 1144147834411. The reversal of 1144147834368 is 8634387414411.

1144147834368 is a `hidden beast` number, since 114 + 4 + 14 + 7 + 83 + 436 + 8 = 666.

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

Its product of digits (6193152) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144147834363) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7287565746 + ... + 7287565902.

It is an arithmetic number, because the mean of its divisors is an integer number (2420630784).

Almost surely, 2^{1144147834368} is an apocalyptic number.

1144147834368 is a gapful number since it is divisible by the number (18) 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 1144147834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323805552640).

1144147834368 is an abundant number, since it is smaller than the sum of its proper divisors (3503463270912).

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

1144147834368 is a wasteful number, since it uses less digits than its factorization.

1144147834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 1144147834368 in words is "one trillion, one hundred forty-four billion, one hundred forty-seven million, eight hundred thirty-four thousand, three hundred sixty-eight".