268918041564 has 72 divisors (see below), whose sum is σ = 709656948000. Its totient is φ = 85754277504.

The previous prime is 268918041563. The next prime is 268918041577. The reversal of 268918041564 is 465140819862.

268918041564 is a `hidden beast` number, since 2 + 6 + 8 + 91 + 80 + 415 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 268918041564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268918041563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067784 + ... + 1295375.

It is an arithmetic number, because the mean of its divisors is an integer number (9856346500).

Almost surely, 2^268918041564 is an apocalyptic number.

It is an amenable number.

268918041564 is an abundant number, since it is smaller than the sum of its proper divisors (440738906436).

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

268918041564 is a wasteful number, since it uses less digits than its factorization.

268918041564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363307 (or 2363302 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 268918041564 in words is "two hundred sixty-eight billion, nine hundred eighteen million, forty-one thousand, five hundred sixty-four".