168438853006461 has 12 divisors (see below), whose sum is σ = 245050929235840. Its totient is φ = 111484708463880.

The previous prime is 168438853006439. The next prime is 168438853006483. The reversal of 168438853006461 is 164600358834861.

168438853006461 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 38 + 8 + 530 + 0 + 6 + 4 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (168438853006439) and next prime (168438853006483).

It is not a de Polignac number, because 168438853006461 - 2⁶ = 168438853006397 is a prime.

It is a super-3 number, since 3×168438853006461³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168438853002461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67321682605 + ... + 67321685106.

Almost surely, 2^{168438853006461} is an apocalyptic number.

It is an amenable number.

168438853006461 is a deficient number, since it is larger than the sum of its proper divisors (76612076229379).

168438853006461 is a wasteful number, since it uses less digits than its factorization.

168438853006461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134643367856 (or 134643367853 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 168438853006461 in words is "one hundred sixty-eight trillion, four hundred thirty-eight billion, eight hundred fifty-three million, six thousand, four hundred sixty-one".