268451022848 has 60 divisors (see below), whose sum is σ = 541834843095. Its totient is φ = 132971067392.

The previous prime is 268451022841. The next prime is 268451022871. The reversal of 268451022848 is 848220154862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 134225511424 + 134225511424 = 366368^2 + 366368^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=366368.

It is a super-2 number, since 2×268451022848² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268451022796 and 268451022805.

It is not an unprimeable number, because it can be changed into a prime (268451022841) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 2508888011 + ... + 2508888117.

Almost surely, 2^268451022848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268451022848

268451022848 is an abundant number, since it is smaller than the sum of its proper divisors (273383820247).

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

268451022848 is an frugal number, since it uses more digits than its factorization.

268451022848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 50.

Multiplying 268451022848 by its sum of digits (50), we get a square (13422551142400 = 3663680²).

The spelling of 268451022848 in words is "two hundred sixty-eight billion, four hundred fifty-one million, twenty-two thousand, eight hundred forty-eight".