256488753414208 has 336 divisors, whose sum is σ = 633596155167360. Its totient is φ = 102406710067200.

The previous prime is 256488753414193. The next prime is 256488753414281. The reversal of 256488753414208 is 802414357884652.

It is a super-3 number, since 3×256488753414208³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29662162141 + ... + 29662170787.

It is an arithmetic number, because the mean of its divisors is an integer number (1885702842760).

Almost surely, 2^{256488753414208} is an apocalyptic number.

256488753414208 is a gapful number since it is divisible by the number (28) 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 256488753414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316798077583680).

256488753414208 is an abundant number, since it is smaller than the sum of its proper divisors (377107401753152).

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

256488753414208 is a wasteful number, since it uses less digits than its factorization.

256488753414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16914 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 67.

The spelling of 256488753414208 in words is "two hundred fifty-six trillion, four hundred eighty-eight billion, seven hundred fifty-three million, four hundred fourteen thousand, two hundred eight".