1189206292416 has 168 divisors, whose sum is σ = 3370336485120. Its totient is φ = 369932327424.

The previous prime is 1189206292409. The next prime is 1189206292429. The reversal of 1189206292416 is 6142926029811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515865 + ... + 4771943.

Almost surely, 2^{1189206292416} is an apocalyptic number.

1189206292416 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 1189206292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685168242560).

1189206292416 is an abundant number, since it is smaller than the sum of its proper divisors (2181130192704).

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

1189206292416 is a wasteful number, since it uses less digits than its factorization.

1189206292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256199 (or 256170 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 1189206292416 in words is "one trillion, one hundred eighty-nine billion, two hundred six million, two hundred ninety-two thousand, four hundred sixteen".