2186345087136 has 240 divisors, whose sum is σ = 7353214102080. Its totient is φ = 624273454080.

The previous prime is 2186345087123. The next prime is 2186345087137. The reversal of 2186345087136 is 6317805436812.

2186345087136 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 34 + 508 + 71 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2186345087137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29156251 + ... + 29231141.

It is an arithmetic number, because the mean of its divisors is an integer number (30638392092).

Almost surely, 2^{2186345087136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2186345087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676607051040).

2186345087136 is an abundant number, since it is smaller than the sum of its proper divisors (5166869014944).

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

2186345087136 is a wasteful number, since it uses less digits than its factorization.

2186345087136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76529 (or 76512 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2186345087136 in words is "two trillion, one hundred eighty-six billion, three hundred forty-five million, eighty-seven thousand, one hundred thirty-six".