1186608641904 has 360 divisors, whose sum is σ = 4206587346000. Its totient is φ = 310110861312.

The previous prime is 1186608641887. The next prime is 1186608641963. The reversal of 1186608641904 is 4091468066811.

1186608641904 is a `hidden beast` number, since 1 + 18 + 6 + 608 + 6 + 4 + 19 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3735252 + ... + 4040460.

It is an arithmetic number, because the mean of its divisors is an integer number (11684964850).

Almost surely, 2^{1186608641904} is an apocalyptic number.

1186608641904 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 1186608641904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103293673000).

1186608641904 is an abundant number, since it is smaller than the sum of its proper divisors (3019978704096).

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

1186608641904 is a wasteful number, since it uses less digits than its factorization.

1186608641904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305285 (or 305269 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1186608641904 in words is "one trillion, one hundred eighty-six billion, six hundred eight million, six hundred forty-one thousand, nine hundred four".