164400113233103 has 16 divisors (see below), whose sum is σ = 180869992692480. Its totient is φ = 148186903396800.

The previous prime is 164400113233079. The next prime is 164400113233129. The reversal of 164400113233103 is 301332311004461.

164400113233103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164400113233103 - 2⁸ = 164400113232847 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164400113233103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164400113233303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63748133 + ... + 66276878.

It is an arithmetic number, because the mean of its divisors is an integer number (11304374543280).

Almost surely, 2^{164400113233103} is an apocalyptic number.

164400113233103 is a deficient number, since it is larger than the sum of its proper divisors (16469879459377).

164400113233103 is a wasteful number, since it uses less digits than its factorization.

164400113233103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130025998.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 164400113233103 its reverse (301332311004461), we get a palindrome (465732424237564).

The spelling of 164400113233103 in words is "one hundred sixty-four trillion, four hundred billion, one hundred thirteen million, two hundred thirty-three thousand, one hundred three".