256745541771264 has 896 divisors, whose sum is σ = 848289155051520. Its totient is φ = 67257866649600.

The previous prime is 256745541771263. The next prime is 256745541771287. The reversal of 256745541771264 is 462177145547652.

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 256745541771195 and 256745541771204.

It is not an unprimeable number, because it can be changed into a prime (256745541771263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291425132104 + ... + 291425132984.

It is an arithmetic number, because the mean of its divisors is an integer number (946751289120).

Almost surely, 2^{256745541771264} is an apocalyptic number.

256745541771264 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 256745541771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424144577525760).

256745541771264 is an abundant number, since it is smaller than the sum of its proper divisors (591543613280256).

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

256745541771264 is a wasteful number, since it uses less digits than its factorization.

256745541771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1636 counting only the distinct ones).

The product of its digits is 395136000, while the sum is 66.

The spelling of 256745541771264 in words is "two hundred fifty-six trillion, seven hundred forty-five billion, five hundred forty-one million, seven hundred seventy-one thousand, two hundred sixty-four".