256101045354 has 512 divisors, whose sum is σ = 747795456000. Its totient is φ = 64377815040.

The previous prime is 256101045313. The next prime is 256101045371. The reversal of 256101045354 is 453540101652.

256101045354 is a `hidden beast` number, since 2 + 5 + 6 + 10 + 104 + 535 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 996501994 + ... + 996502250.

It is an arithmetic number, because the mean of its divisors is an integer number (1460538000).

Almost surely, 2^256101045354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256101045354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373897728000).

256101045354 is an abundant number, since it is smaller than the sum of its proper divisors (491694410646).

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

256101045354 is a wasteful number, since it uses less digits than its factorization.

256101045354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 256101045354 in words is "two hundred fifty-six billion, one hundred one million, forty-five thousand, three hundred fifty-four".