268261453824 has 416 divisors, whose sum is σ = 887741890560. Its totient is φ = 70156025856.

The previous prime is 268261453799. The next prime is 268261453841. The reversal of 268261453824 is 428354162862.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142011472 + ... + 142013360.

Almost surely, 2^268261453824 is an apocalyptic number.

268261453824 is a gapful number since it is divisible by the number (24) 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 268261453824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443870945280).

268261453824 is an abundant number, since it is smaller than the sum of its proper divisors (619480436736).

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

268261453824 is a wasteful number, since it uses less digits than its factorization.

268261453824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2041 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The spelling of 268261453824 in words is "two hundred sixty-eight billion, two hundred sixty-one million, four hundred fifty-three thousand, eight hundred twenty-four".