1189345993056 has 432 divisors, whose sum is σ = 3826063397520. Its totient is φ = 348277708800.

The previous prime is 1189345993049. The next prime is 1189345993081. The reversal of 1189345993056 is 6503995439811.

1189345993056 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 3 + 4 + 599 + 30 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1189345992984 and 1189345993002.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 219474315 + ... + 219479733.

It is an arithmetic number, because the mean of its divisors is an integer number (8856628235).

Almost surely, 2^{1189345993056} is an apocalyptic number.

1189345993056 is a gapful number since it is divisible by the number (16) 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 1189345993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913031698760).

1189345993056 is an abundant number, since it is smaller than the sum of its proper divisors (2636717404464).

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

1189345993056 is a wasteful number, since it uses less digits than its factorization.

1189345993056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 1189345993056 in words is "one trillion, one hundred eighty-nine billion, three hundred forty-five million, nine hundred ninety-three thousand, fifty-six".