256838205373092 has 432 divisors, whose sum is σ = 781524863683200. Its totient is φ = 69641798353920.

The previous prime is 256838205373091. The next prime is 256838205373117. The reversal of 256838205373092 is 290373502838652.

It is a happy number.

256838205373092 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 3 + 8 + 2 + 0 + 537 + 3 + 0 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (256838205373091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39134265403 + ... + 39134271965.

It is an arithmetic number, because the mean of its divisors is an integer number (1809085332600).

Almost surely, 2^{256838205373092} 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 256838205373092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390762431841600).

256838205373092 is an abundant number, since it is smaller than the sum of its proper divisors (524686658310108).

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

256838205373092 is a wasteful number, since it uses less digits than its factorization.

256838205373092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 256838205373092 in words is "two hundred fifty-six trillion, eight hundred thirty-eight billion, two hundred five million, three hundred seventy-three thousand, ninety-two".