268456380192 has 2304 divisors, whose sum is σ = 1210741862400. Its totient is φ = 55539302400.

The previous prime is 268456380163. The next prime is 268456380221. The reversal of 268456380192 is 291083654862.

268456380192 is a `hidden beast` number, since 2 + 68 + 4 + 563 + 8 + 0 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (268456380163) and next prime (268456380221).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8659883217 + ... + 8659883247.

It is an arithmetic number, because the mean of its divisors is an integer number (525495600).

Almost surely, 2^268456380192 is an apocalyptic number.

268456380192 is a gapful number since it is divisible by the number (22) 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 268456380192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605370931200).

268456380192 is an abundant number, since it is smaller than the sum of its proper divisors (942285482208).

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

268456380192 is a wasteful number, since it uses less digits than its factorization.

268456380192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 268456380192 in words is "two hundred sixty-eight billion, four hundred fifty-six million, three hundred eighty thousand, one hundred ninety-two".