638241458001801 has 32 divisors (see below), whose sum is σ = 882134104089600. Its totient is φ = 410239780150080.

The previous prime is 638241458001709. The next prime is 638241458001839. The reversal of 638241458001801 is 108100854142836.

It is a happy number.

It is not a de Polignac number, because 638241458001801 - 2¹¹ = 638241457999753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (638241458001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81430461 + ... + 88923578.

It is an arithmetic number, because the mean of its divisors is an integer number (27566690752800).

Almost surely, 2^{638241458001801} is an apocalyptic number.

638241458001801 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

638241458001801 is a deficient number, since it is larger than the sum of its proper divisors (243892646087799).

638241458001801 is a wasteful number, since it uses less digits than its factorization.

638241458001801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170354509.

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 638241458001801 in words is "six hundred thirty-eight trillion, two hundred forty-one billion, four hundred fifty-eight million, one thousand, eight hundred one".