123167268705625 has 45 divisors (see below), whose sum is σ = 160900831470379. Its totient is φ = 94244852900000.

The previous prime is 123167268705619. The next prime is 123167268705629. The reversal of 123167268705625 is 526507862761321.

The square root of 123167268705625 is 11098075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 87737298178761 + 35429970526864 = 9366819^2 + 5952308^2 .

It is not a de Polignac number, because 123167268705625 - 2⁹ = 123167268705113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123167268705629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6381383475 + ... + 6381402775.

Almost surely, 2^{123167268705625} is an apocalyptic number.

123167268705625 is the 11098075-th square number.

123167268705625 is the 5549038-th centered octagonal number.

It is an amenable number.

123167268705625 is a deficient number, since it is larger than the sum of its proper divisors (37733562764754).

123167268705625 is an frugal number, since it uses more digits than its factorization.

123167268705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38668 (or 19329 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 123167268705625 in words is "one hundred twenty-three trillion, one hundred sixty-seven billion, two hundred sixty-eight million, seven hundred five thousand, six hundred twenty-five".