68164514986464 has 144 divisors (see below), whose sum is σ = 215487821937024. Its totient is φ = 20297126016000.

The previous prime is 68164514986459. The next prime is 68164514986471. The reversal of 68164514986464 is 46468941546186.

68164514986464 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 45 + 1 + 49 + 86 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×68164514986464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68164514986392 and 68164514986401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293534487 + ... + 293766614.

It is an arithmetic number, because the mean of its divisors is an integer number (1496443207896).

Almost surely, 2^{68164514986464} is an apocalyptic number.

It is an amenable number.

68164514986464 is an abundant number, since it is smaller than the sum of its proper divisors (147323306950560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68164514986464 is a wasteful number, since it uses less digits than its factorization.

68164514986464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587301161 (or 587301150 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 68164514986464 in words is "sixty-eight trillion, one hundred sixty-four billion, five hundred fourteen million, nine hundred eighty-six thousand, four hundred sixty-four".