1186008534016 has 88 divisors (see below), whose sum is σ = 2423709835776. Its totient is φ = 579810201600.

The previous prime is 1186008534013. The next prime is 1186008534059. The reversal of 1186008534016 is 6104358006811.

It is not an unprimeable number, because it can be changed into a prime (1186008534013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50570805 + ... + 50594251.

Almost surely, 2^{1186008534016} is an apocalyptic number.

1186008534016 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 1186008534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211854917888).

1186008534016 is an abundant number, since it is smaller than the sum of its proper divisors (1237701301760).

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

1186008534016 is a wasteful number, since it uses less digits than its factorization.

1186008534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24565 (or 24547 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 1186008534016 in words is "one trillion, one hundred eighty-six billion, eight million, five hundred thirty-four thousand, sixteen".