264401114244101 has 16 divisors (see below), whose sum is σ = 268294722474240. Its totient is φ = 260514866183040.

The previous prime is 264401114244089. The next prime is 264401114244119. The reversal of 264401114244101 is 101442411104462.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 264401114244101 - 2¹⁴ = 264401114227717 is a prime.

It is a super-2 number, since 2×264401114244101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264401114244181) 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 15 ways as a sum of consecutive naturals, for example, 3686589920 + ... + 3686661638.

It is an arithmetic number, because the mean of its divisors is an integer number (16768420154640).

Almost surely, 2^{264401114244101} is an apocalyptic number.

It is an amenable number.

264401114244101 is a deficient number, since it is larger than the sum of its proper divisors (3893608230139).

264401114244101 is a wasteful number, since it uses less digits than its factorization.

264401114244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122276.

The product of its (nonzero) digits is 24576, while the sum is 35.

Adding to 264401114244101 its reverse (101442411104462), we get a palindrome (365843525348563).

The spelling of 264401114244101 in words is "two hundred sixty-four trillion, four hundred one billion, one hundred fourteen million, two hundred forty-four thousand, one hundred one".