68188354641 has 81 divisors (see below), whose sum is σ = 111545205681. Its totient is φ = 40109414400.

The previous prime is 68188354639. The next prime is 68188354643. The reversal of 68188354641 is 14645388186.

The square root of 68188354641 is 261129.

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

68188354641 is a `hidden beast` number, since 6 + 8 + 18 + 83 + 546 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (68188354639) and next prime (68188354643).

It can be written as a sum of positive squares in 4 ways, for example, as 37459667025 + 30728687616 = 193545^2 + 175296^2 .

It is not a de Polignac number, because 68188354641 - 2¹ = 68188354639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68188354643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 353307441 + ... + 353307633.

Almost surely, 2^68188354641 is an apocalyptic number.

68188354641 is the 261129-th square number.

68188354641 is the 130565-th centered octagonal number.

It is an amenable number.

68188354641 is a deficient number, since it is larger than the sum of its proper divisors (43356851040).

68188354641 is a wasteful number, since it uses less digits than its factorization.

68188354641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 68188354641 in words is "sixty-eight billion, one hundred eighty-eight million, three hundred fifty-four thousand, six hundred forty-one".