268156944000 has 1536 divisors, whose sum is σ = 1118412472320. Its totient is φ = 60963840000.

The previous prime is 268156943987. The next prime is 268156944007. The reversal of 268156944000 is 449651862.

268156944000 is a `hidden beast` number, since 2 + 6 + 8 + 156 + 94 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268156944007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2111471937 + ... + 2111472063.

It is an arithmetic number, because the mean of its divisors is an integer number (728133120).

Almost surely, 2^268156944000 is an apocalyptic number.

268156944000 is a gapful number since it is divisible by the number (20) 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 268156944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559206236160).

268156944000 is an abundant number, since it is smaller than the sum of its proper divisors (850255528320).

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

268156944000 is a wasteful number, since it uses less digits than its factorization.

268156944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 268156944000 in words is "two hundred sixty-eight billion, one hundred fifty-six million, nine hundred forty-four thousand".