256342012146 has 96 divisors (see below), whose sum is σ = 646341696000. Its totient is φ = 75173551200.

The previous prime is 256342012123. The next prime is 256342012151. The reversal of 256342012146 is 641210243652.

256342012146 is a `hidden beast` number, since 2 + 5 + 634 + 2 + 0 + 1 + 2 + 14 + 6 = 666.

256342012146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256342012146² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256342012146.

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, 430221 + ... + 835328.

It is an arithmetic number, because the mean of its divisors is an integer number (6732726000).

Almost surely, 2^256342012146 is an apocalyptic number.

256342012146 is an abundant number, since it is smaller than the sum of its proper divisors (389999683854).

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

256342012146 is a wasteful number, since it uses less digits than its factorization.

256342012146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265613 (or 1265596 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 256342012146 its reverse (641210243652), we get a palindrome (897552255798).

The spelling of 256342012146 in words is "two hundred fifty-six billion, three hundred forty-two million, twelve thousand, one hundred forty-six".