2167414061796 has 81 divisors (see below), whose sum is σ = 5674848469563. Its totient is φ = 697476104640.

The previous prime is 2167414061731. The next prime is 2167414061797. The reversal of 2167414061796 is 6971604147612.

It is a happy number.

The square root of 2167414061796 is 1472214.

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

2167414061796 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 4 + 14 + 0 + 617 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318901901796 + 1848512160000 = 564714^2 + 1359600^2 .

It is not an unprimeable number, because it can be changed into a prime (2167414061797) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256161006 + ... + 256169466.

Almost surely, 2^{2167414061796} is an apocalyptic number.

2167414061796 is the 1472214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167414061796

2167414061796 is an abundant number, since it is smaller than the sum of its proper divisors (3507434407767).

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

2167414061796 is an frugal number, since it uses more digits than its factorization.

2167414061796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16990 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2167414061796 in words is "two trillion, one hundred sixty-seven billion, four hundred fourteen million, sixty-one thousand, seven hundred ninety-six".