256949314860001 has 16 divisors (see below), whose sum is σ = 266973221970000. Its totient is φ = 247003003247616.

The previous prime is 256949314859917. The next prime is 256949314860067. The reversal of 256949314860001 is 100068413949652.

It can be written as a sum of positive squares in 8 ways, for example, as 169818011467776 + 87131303392225 = 13031424^2 + 9334415^2 .

It is a cyclic number.

It is not a de Polignac number, because 256949314860001 - 2⁴³ = 248153221837793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256949314863001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958886205 + ... + 959154133.

It is an arithmetic number, because the mean of its divisors is an integer number (16685826373125).

Almost surely, 2^{256949314860001} is an apocalyptic number.

It is an amenable number.

256949314860001 is a deficient number, since it is larger than the sum of its proper divisors (10023907109999).

256949314860001 is a wasteful number, since it uses less digits than its factorization.

256949314860001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412596.

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 256949314860001 in words is "two hundred fifty-six trillion, nine hundred forty-nine billion, three hundred fourteen million, eight hundred sixty thousand, one".