268240654944 has 72 divisors (see below), whose sum is σ = 791061584040. Its totient is φ = 89413549056.

The previous prime is 268240654937. The next prime is 268240654993. The reversal of 268240654944 is 449456042862.

268240654944 is a `hidden beast` number, since 26 + 82 + 406 + 54 + 94 + 4 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17240209 + ... + 17255760.

It is an arithmetic number, because the mean of its divisors is an integer number (10986966445).

Almost surely, 2^268240654944 is an apocalyptic number.

268240654944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268240654944 is an abundant number, since it is smaller than the sum of its proper divisors (522820929096).

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

268240654944 is an equidigital number, since it uses as much as digits as its factorization.

268240654944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34495994 (or 34495974 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 268240654944 in words is "two hundred sixty-eight billion, two hundred forty million, six hundred fifty-four thousand, nine hundred forty-four".