1185949087344 has 160 divisors (see below), whose sum is σ = 3891455930880. Its totient is φ = 338751936000.

The previous prime is 1185949087321. The next prime is 1185949087373. The reversal of 1185949087344 is 4437809495811.

1185949087344 is a `hidden beast` number, since 1 + 1 + 8 + 594 + 9 + 0 + 8 + 7 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11685619 + ... + 11786669.

It is an arithmetic number, because the mean of its divisors is an integer number (24321599568).

Almost surely, 2^{1185949087344} is an apocalyptic number.

1185949087344 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 1185949087344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945727965440).

1185949087344 is an abundant number, since it is smaller than the sum of its proper divisors (2705506843536).

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

1185949087344 is a wasteful number, since it uses less digits than its factorization.

1185949087344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104956 (or 104944 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1185949087344 in words is "one trillion, one hundred eighty-five billion, nine hundred forty-nine million, eighty-seven thousand, three hundred forty-four".