256252154112 has 216 divisors, whose sum is σ = 754009250904. Its totient is φ = 83668795392.

The previous prime is 256252154107. The next prime is 256252154117. The reversal of 256252154112 is 211451252652.

256252154112 is a `hidden beast` number, since 2 + 5 + 6 + 25 + 215 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (256252154107) and next prime (256252154117).

It can be written as a sum of positive squares in 4 ways, for example, as 24606314496 + 231645839616 = 156864^2 + 481296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (256252154117) 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, 97321948 + ... + 97324580.

It is an arithmetic number, because the mean of its divisors is an integer number (3490783569).

Almost surely, 2^256252154112 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 256252154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377004625452).

256252154112 is an abundant number, since it is smaller than the sum of its proper divisors (497757096792).

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

256252154112 is a wasteful number, since it uses less digits than its factorization.

256252154112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3488 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 256252154112 in words is "two hundred fifty-six billion, two hundred fifty-two million, one hundred fifty-four thousand, one hundred twelve".