126185403168 has 72 divisors (see below), whose sum is σ = 391461544656. Its totient is φ = 38238000000.

The previous prime is 126185403167. The next prime is 126185403181. The reversal of 126185403168 is 861304581621.

126185403168 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 85 + 403 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (126185403161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19912458 + ... + 19918793.

It is an arithmetic number, because the mean of its divisors is an integer number (5436965898).

Almost surely, 2^126185403168 is an apocalyptic number.

126185403168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126185403168 is an abundant number, since it is smaller than the sum of its proper divisors (265276141488).

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

126185403168 is a wasteful number, since it uses less digits than its factorization.

126185403168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39831278 (or 39831267 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 126185403168 its reverse (861304581621), we get a palindrome (987489984789).

The spelling of 126185403168 in words is "one hundred twenty-six billion, one hundred eighty-five million, four hundred three thousand, one hundred sixty-eight".