268245153792 has 576 divisors, whose sum is σ = 994640774400. Its totient is φ = 69396480000.

The previous prime is 268245153773. The next prime is 268245153857. The reversal of 268245153792 is 297351542862.

268245153792 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 4 + 515 + 37 + 92 = 666.

268245153792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 1068705667 + ... + 1068705917.

It is an arithmetic number, because the mean of its divisors is an integer number (1726806900).

Almost surely, 2^268245153792 is an apocalyptic number.

268245153792 is a gapful number since it is divisible by the number (22) 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 268245153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497320387200).

268245153792 is an abundant number, since it is smaller than the sum of its proper divisors (726395620608).

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

268245153792 is an equidigital number, since it uses as much as digits as its factorization.

268245153792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 274 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 268245153792 in words is "two hundred sixty-eight billion, two hundred forty-five million, one hundred fifty-three thousand, seven hundred ninety-two".