2185418195856 has 135 divisors (see below), whose sum is σ = 7115092693371. Its totient is φ = 624369719232.

The previous prime is 2185418195783. The next prime is 2185418195869. The reversal of 2185418195856 is 6585918145812.

The square root of 2185418195856 is 1478316.

It is a perfect power (a square), and thus also a powerful number.

2185418195856 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 41 + 8 + 1 + 9 + 585 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2185418195793 and 2185418195802.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124169745 + ... + 124187343.

Almost surely, 2^{2185418195856} is an apocalyptic number.

2185418195856 is the 1478316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185418195856

2185418195856 is an abundant number, since it is smaller than the sum of its proper divisors (4929674497515).

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

2185418195856 is an frugal number, since it uses more digits than its factorization.

2185418195856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35226 (or 17611 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 63.

The spelling of 2185418195856 in words is "two trillion, one hundred eighty-five billion, four hundred eighteen million, one hundred ninety-five thousand, eight hundred fifty-six".