268800048384 has 288 divisors, whose sum is σ = 866718268416. Its totient is φ = 72196915200.

The previous prime is 268800048371. The next prime is 268800048443. The reversal of 268800048384 is 483840008862.

268800048384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268800048384² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

268800048384 is a modest number, since divided by 48384 gives 26880 as remainder.

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, 132608779 + ... + 132610805.

It is an arithmetic number, because the mean of its divisors is an integer number (3009438432).

Almost surely, 2^268800048384 is an apocalyptic number.

268800048384 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 268800048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433359134208).

268800048384 is an abundant number, since it is smaller than the sum of its proper divisors (597918220032).

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

268800048384 is a wasteful number, since it uses less digits than its factorization.

268800048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 268800048384 in words is "two hundred sixty-eight billion, eight hundred million, forty-eight thousand, three hundred eighty-four".