256256145948 has 72 divisors (see below), whose sum is σ = 657760810000. Its totient is φ = 77590656000.

The previous prime is 256256145947. The next prime is 256256145979. The reversal of 256256145948 is 849541652652.

It is a super-2 number, since 2×256256145948² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256256145947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1742898 + ... + 1884198.

Almost surely, 2^256256145948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256256145948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328880405000).

256256145948 is an abundant number, since it is smaller than the sum of its proper divisors (401504664052).

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

256256145948 is a wasteful number, since it uses less digits than its factorization.

256256145948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142579 (or 142566 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

It can be divided in two parts, 256256 and 145948, that added together give a palindrome (402204).

The spelling of 256256145948 in words is "two hundred fifty-six billion, two hundred fifty-six million, one hundred forty-five thousand, nine hundred forty-eight".