2167428783961 has 9 divisors (see below), whose sum is σ = 2521306695999. Its totient is φ = 1857787267224.

The previous prime is 2167428783959. The next prime is 2167428783997. The reversal of 2167428783961 is 1693878247612.

The square root of 2167428783961 is 1472219.

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

It can be written as a sum of positive squares in only one way, i.e., 41536478025 + 2125892305936 = 203805^2 + 1458044^2 .

It is not a de Polignac number, because 2167428783961 - 2¹ = 2167428783959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2167428783893 and 2167428783902.

It is not an unprimeable number, because it can be changed into a prime (2167428783931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10200375 + ... + 10410691.

Almost surely, 2^{2167428783961} is an apocalyptic number.

2167428783961 is the 1472219-th square number.

2167428783961 is the 736110-th centered octagonal number.

It is an amenable number.

2167428783961 is a deficient number, since it is larger than the sum of its proper divisors (353877912038).

2167428783961 is an frugal number, since it uses more digits than its factorization.

2167428783961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420648 (or 210324 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 64.

Multiplying 2167428783961 by its sum of digits (64), we get a square (138715442173504 = 11777752²).

The spelling of 2167428783961 in words is "two trillion, one hundred sixty-seven billion, four hundred twenty-eight million, seven hundred eighty-three thousand, nine hundred sixty-one".