1190234851344 has 1440 divisors, whose sum is σ = 4564267868160. Its totient is φ = 293559552000.

The previous prime is 1190234851297. The next prime is 1190234851361. The reversal of 1190234851344 is 4431584320911.

1190234851344 is a `hidden beast` number, since 1 + 1 + 90 + 2 + 3 + 4 + 8 + 513 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1190234851344.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9085762159 + ... + 9085762289.

It is an arithmetic number, because the mean of its divisors is an integer number (3169630464).

Almost surely, 2^{1190234851344} is an apocalyptic number.

1190234851344 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 1190234851344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282133934080).

1190234851344 is an abundant number, since it is smaller than the sum of its proper divisors (3374033016816).

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

1190234851344 is a wasteful number, since it uses less digits than its factorization.

1190234851344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1190234851344 in words is "one trillion, one hundred ninety billion, two hundred thirty-four million, eight hundred fifty-one thousand, three hundred forty-four".