11873658146868 has 144 divisors (see below), whose sum is σ = 34483393211904. Its totient is φ = 3374548853760.

The previous prime is 11873658146807. The next prime is 11873658146881. The reversal of 11873658146868 is 86864185637811.

11873658146868 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 36 + 581 + 4 + 6 + 8 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11873658146796 and 11873658146805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36440046 + ... + 36764442.

It is an arithmetic number, because the mean of its divisors is an integer number (239468008416).

Almost surely, 2^{11873658146868} is an apocalyptic number.

11873658146868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11873658146868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241696605952).

11873658146868 is an abundant number, since it is smaller than the sum of its proper divisors (22609735065036).

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

11873658146868 is a wasteful number, since it uses less digits than its factorization.

11873658146868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325182 (or 325177 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 11873658146868 in words is "eleven trillion, eight hundred seventy-three billion, six hundred fifty-eight million, one hundred forty-six thousand, eight hundred sixty-eight".