2256464124401 has 4 divisors (see below), whose sum is σ = 2268930777204. Its totient is φ = 2243997471600.

The previous prime is 2256464124353. The next prime is 2256464124437. The reversal of 2256464124401 is 1044214646522.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 987290640625 + 1269173483776 = 993625^2 + 1126576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2256464124401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2256464124451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6233326130 + ... + 6233326491.

It is an arithmetic number, because the mean of its divisors is an integer number (567232694301).

Almost surely, 2^{2256464124401} is an apocalyptic number.

It is an amenable number.

2256464124401 is a deficient number, since it is larger than the sum of its proper divisors (12466652803).

2256464124401 is a wasteful number, since it uses less digits than its factorization.

2256464124401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12466652802.

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 2256464124401 in words is "two trillion, two hundred fifty-six billion, four hundred sixty-four million, one hundred twenty-four thousand, four hundred one".