164381424101083 has 16 divisors (see below), whose sum is σ = 197752473664000. Its totient is φ = 133482400621632.

The previous prime is 164381424100991. The next prime is 164381424101101. The reversal of 164381424101083 is 380101424183461.

It is a cyclic number.

It is not a de Polignac number, because 164381424101083 - 2²⁹ = 164380887230171 is a prime.

It is a super-2 number, since 2×164381424101083² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164381424104083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98337178 + ... + 99994816.

It is an arithmetic number, because the mean of its divisors is an integer number (12359529604000).

Almost surely, 2^{164381424101083} is an apocalyptic number.

164381424101083 is a deficient number, since it is larger than the sum of its proper divisors (33371049562917).

164381424101083 is a wasteful number, since it uses less digits than its factorization.

164381424101083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403274.

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 164381424101083 in words is "one hundred sixty-four trillion, three hundred eighty-one billion, four hundred twenty-four million, one hundred one thousand, eighty-three".