268045155456 has 128 divisors (see below), whose sum is σ = 767562566400. Its totient is φ = 82389516288.

The previous prime is 268045155401. The next prime is 268045155461. The reversal of 268045155456 is 654551540862.

268045155456 is digitally balanced in base 2, 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 268045155399 and 268045155408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4849705 + ... + 4904663.

It is an arithmetic number, because the mean of its divisors is an integer number (5996582550).

Almost surely, 2^268045155456 is an apocalyptic number.

268045155456 is a gapful number since it is divisible by the number (26) 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 268045155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383781283200).

268045155456 is an abundant number, since it is smaller than the sum of its proper divisors (499517410944).

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

268045155456 is a wasteful number, since it uses less digits than its factorization.

268045155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55966 (or 55954 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 268045155456 in words is "two hundred sixty-eight billion, forty-five million, one hundred fifty-five thousand, four hundred fifty-six".