168741029961 has 81 divisors (see below), whose sum is σ = 293437073709. Its totient is φ = 93165130800.

The previous prime is 168741029953. The next prime is 168741029969. The reversal of 168741029961 is 169920147861.

The square root of 168741029961 is 410781.

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

168741029961 is a `hidden beast` number, since 1 + 6 + 87 + 410 + 2 + 99 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (168741029953) and next prime (168741029969).

It is not a de Polignac number, because 168741029961 - 2³ = 168741029953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 168741029898 and 168741029907.

It is not an unprimeable number, because it can be changed into a prime (168741029969) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 267418116 + ... + 267418746.

Almost surely, 2^168741029961 is an apocalyptic number.

168741029961 is the 410781-st square number.

168741029961 is the 205391-st centered octagonal number.

It is an amenable number.

168741029961 is a deficient number, since it is larger than the sum of its proper divisors (124696043748).

168741029961 is an frugal number, since it uses more digits than its factorization.

168741029961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 168741029961 in words is "one hundred sixty-eight billion, seven hundred forty-one million, twenty-nine thousand, nine hundred sixty-one".