26846494801 has 27 divisors (see below), whose sum is σ = 31704982491. Its totient is φ = 22666215264.

The previous prime is 26846494783. The next prime is 26846494859. The reversal of 26846494801 is 10849464862.

The square root of 26846494801 is 163849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5155096401 + 21691398400 = 71799^2 + 147280^2 .

It is not a de Polignac number, because 26846494801 - 2⁹ = 26846494289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26846491801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102077796 + ... + 102078058.

Almost surely, 2^26846494801 is an apocalyptic number.

26846494801 is the 163849-th square number.

26846494801 is the 81925-th centered octagonal number.

It is an amenable number.

26846494801 is a deficient number, since it is larger than the sum of its proper divisors (4858487690).

26846494801 is an frugal number, since it uses more digits than its factorization.

26846494801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 26846494801 in words is "twenty-six billion, eight hundred forty-six million, four hundred ninety-four thousand, eight hundred one".