268185082464 has 480 divisors, whose sum is σ = 876850150176. Its totient is φ = 79875072000.

The previous prime is 268185082463. The next prime is 268185082489. The reversal of 268185082464 is 464280581862.

268185082464 is a `hidden beast` number, since 2 + 68 + 18 + 508 + 2 + 4 + 64 = 666.

It is a super-2 number, since 2×268185082464² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 268185082464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268185082463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312934324 + ... + 312935180.

Almost surely, 2^268185082464 is an apocalyptic number.

268185082464 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 268185082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438425075088).

268185082464 is an abundant number, since it is smaller than the sum of its proper divisors (608665067712).

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

268185082464 is a wasteful number, since it uses less digits than its factorization.

268185082464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 268185082464 in words is "two hundred sixty-eight billion, one hundred eighty-five million, eighty-two thousand, four hundred sixty-four".