256114752768 has 252 divisors, whose sum is σ = 875996409568. Its totient is φ = 73175270400.

The previous prime is 256114752749. The next prime is 256114752787. The reversal of 256114752768 is 867257411652.

It is a happy number.

256114752768 is a `hidden beast` number, since 2 + 5 + 6 + 11 + 47 + 527 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (256114752749) and next prime (256114752787).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1208343 + ... + 1404393.

Almost surely, 2^256114752768 is an apocalyptic number.

256114752768 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 256114752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437998204784).

256114752768 is an abundant number, since it is smaller than the sum of its proper divisors (619881656800).

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

256114752768 is an frugal number, since it uses more digits than its factorization.

256114752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196092 (or 196063 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 256114752768 in words is "two hundred fifty-six billion, one hundred fourteen million, seven hundred fifty-two thousand, seven hundred sixty-eight".