268330614451200 has 5280 divisors, whose sum is σ = 1238355740160000. Its totient is φ = 57253336842240.

The previous prime is 268330614451183. The next prime is 268330614451201. The reversal of 268330614451200 is 2154416033862.

268330614451200 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 3 + 0 + 614 + 4 + 5 + 1 + 20 + 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 (268330614451201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 768855628626 + ... + 768855628974.

It is an arithmetic number, because the mean of its divisors is an integer number (234537072000).

Almost surely, 2^{268330614451200} is an apocalyptic number.

268330614451200 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 268330614451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619177870080000).

268330614451200 is an abundant number, since it is smaller than the sum of its proper divisors (970025125708800).

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

268330614451200 is a wasteful number, since it uses less digits than its factorization.

268330614451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 268330614451200 in words is "two hundred sixty-eight trillion, three hundred thirty billion, six hundred fourteen million, four hundred fifty-one thousand, two hundred".