1826414399601 has 225 divisors, whose sum is σ = 3232357906305. Its totient is φ = 1027533703680.

The previous prime is 1826414399573. The next prime is 1826414399627. The reversal of 1826414399601 is 1069934146281.

The square root of 1826414399601 is 1351449.

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

1826414399601 is a `hidden beast` number, since 1 + 8 + 26 + 4 + 1 + 4 + 3 + 9 + 9 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230639102001 + 1595775297600 = 480249^2 + 1263240^2 .

It is not a de Polignac number, because 1826414399601 - 2⁵ = 1826414399569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1826414399651) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 25019375301 + ... + 25019375373.

Almost surely, 2^{1826414399601} is an apocalyptic number.

1826414399601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1826414399601 is the 1351449-th square number.

1826414399601 is the 675725-th centered octagonal number.

It is an amenable number.

1826414399601 is a deficient number, since it is larger than the sum of its proper divisors (1405943506704).

1826414399601 is an frugal number, since it uses more digits than its factorization.

1826414399601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1826414399601 in words is "one trillion, eight hundred twenty-six billion, four hundred fourteen million, three hundred ninety-nine thousand, six hundred one".