4256706452544 has 504 divisors, whose sum is σ = 15302918449728. Its totient is φ = 1121322424320.

The previous prime is 4256706452539. The next prime is 4256706452549. The reversal of 4256706452544 is 4452546076524.

4256706452544 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 70 + 6 + 4 + 525 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (4256706452539) and next prime (4256706452549).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (4256706452549) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332782789 + ... + 332795579.

It is an arithmetic number, because the mean of its divisors is an integer number (30362933432).

Almost surely, 2^{4256706452544} 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 4256706452544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651459224864).

4256706452544 is an abundant number, since it is smaller than the sum of its proper divisors (11046211997184).

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

4256706452544 is a wasteful number, since it uses less digits than its factorization.

4256706452544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13743 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 54.

The spelling of 4256706452544 in words is "four trillion, two hundred fifty-six billion, seven hundred six million, four hundred fifty-two thousand, five hundred forty-four".