26374084801 has 27 divisors (see below), whose sum is σ = 28840540603. Its totient is φ = 24113300480.

The previous prime is 26374084783. The next prime is 26374084817. The reversal of 26374084801 is 10848047362.

The square root of 26374084801 is 162401.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25344958401 + 1029126400 = 159201^2 + 32080^2 .

It is not a de Polignac number, because 26374084801 - 2⁵ = 26374084769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26374084831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113193381 + ... + 113193613.

Almost surely, 2^26374084801 is an apocalyptic number.

26374084801 is the 162401-st square number.

26374084801 is the 81201-st centered octagonal number.

It is an amenable number.

26374084801 is a deficient number, since it is larger than the sum of its proper divisors (2466455802).

26374084801 is an frugal number, since it uses more digits than its factorization.

26374084801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 26374084801 in words is "twenty-six billion, three hundred seventy-four million, eighty-four thousand, eight hundred one".