168724599121 has 27 divisors (see below), whose sum is σ = 192939786459. Its totient is φ = 147459912912.

The previous prime is 168724599103. The next prime is 168724599139. The reversal of 168724599121 is 121995427861.

The square root of 168724599121 is 410761.

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

It is an interprime number because it is at equal distance from previous prime (168724599103) and next prime (168724599139).

It can be written as a sum of positive squares in only one way, i.e., 24959260225 + 143765338896 = 157985^2 + 379164^2 .

It is not a de Polignac number, because 168724599121 - 2²⁵ = 168691044689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168724099121) 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, 101457136 + ... + 101458798.

It is an arithmetic number, because the mean of its divisors is an integer number (7145918017).

Almost surely, 2^168724599121 is an apocalyptic number.

168724599121 is the 410761-st square number.

168724599121 is the 205381-st centered octagonal number.

It is an amenable number.

168724599121 is a deficient number, since it is larger than the sum of its proper divisors (24215187338).

168724599121 is an frugal number, since it uses more digits than its factorization.

168724599121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 1695 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 55.

The spelling of 168724599121 in words is "one hundred sixty-eight billion, seven hundred twenty-four million, five hundred ninety-nine thousand, one hundred twenty-one".