256744415450451 has 32 divisors (see below), whose sum is σ = 351689289163776. Its totient is φ = 166551549120000.

The previous prime is 256744415450407. The next prime is 256744415450461. The reversal of 256744415450451 is 154054514447652.

It is not a de Polignac number, because 256744415450451 - 2²³ = 256744407061843 is a prime.

It is a super-2 number, since 2×256744415450451² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256744415450391 and 256744415450400.

It is not an unprimeable number, because it can be changed into a prime (256744415450461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5921830 + ... + 23421291.

It is an arithmetic number, because the mean of its divisors is an integer number (10990290286368).

Almost surely, 2^{256744415450451} is an apocalyptic number.

256744415450451 is a deficient number, since it is larger than the sum of its proper divisors (94944873713325).

256744415450451 is a wasteful number, since it uses less digits than its factorization.

256744415450451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29343723.

The product of its (nonzero) digits is 53760000, while the sum is 57.

The spelling of 256744415450451 in words is "two hundred fifty-six trillion, seven hundred forty-four billion, four hundred fifteen million, four hundred fifty thousand, four hundred fifty-one".