1185860342016 has 864 divisors, whose sum is σ = 4191821856768. Its totient is φ = 327323566080.

The previous prime is 1185860341993. The next prime is 1185860342059. The reversal of 1185860342016 is 6102430685811.

1185860342016 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 8 + 603 + 4 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2267419131 + ... + 2267419653.

Almost surely, 2^{1185860342016} is an apocalyptic number.

1185860342016 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 1185860342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095910928384).

1185860342016 is an abundant number, since it is smaller than the sum of its proper divisors (3005961514752).

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

1185860342016 is an equidigital number, since it uses as much as digits as its factorization.

1185860342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1185860342016 in words is "one trillion, one hundred eighty-five billion, eight hundred sixty million, three hundred forty-two thousand, sixteen".