86733189873738 has 40 divisors (see below), whose sum is σ = 205778744608932. Its totient is φ = 27210412508544.

The previous prime is 86733189873703. The next prime is 86733189873773. The reversal of 86733189873738 is 83737898133768.

86733189873738 is a `hidden beast` number, since 8 + 67 + 3 + 3 + 189 + 8 + 7 + 373 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86733189873703) and next prime (86733189873773).

It can be written as a sum of positive squares in 2 ways, for example, as 86689264839849 + 43925033889 = 9310707^2 + 209583^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15746763745 + ... + 15746769252.

Almost surely, 2^{86733189873738} is an apocalyptic number.

86733189873738 is an abundant number, since it is smaller than the sum of its proper divisors (119045554735194).

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

86733189873738 is a wasteful number, since it uses less digits than its factorization.

86733189873738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31493533028 (or 31493533019 counting only the distinct ones).

The product of its digits is 6145155072, while the sum is 81.

The spelling of 86733189873738 in words is "eighty-six trillion, seven hundred thirty-three billion, one hundred eighty-nine million, eight hundred seventy-three thousand, seven hundred thirty-eight".