164406632023041 has 16 divisors (see below), whose sum is σ = 219364606500864. Its totient is φ = 109526552372304.

The previous prime is 164406632023013. The next prime is 164406632023063. The reversal of 164406632023041 is 140320236604461.

It is not a de Polignac number, because 164406632023041 - 2¹⁷ = 164406631891969 is a prime.

It is a super-3 number, since 3×164406632023041³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164406632022984 and 164406632023002.

It is not an unprimeable number, because it can be changed into a prime (164406632423041) 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, 49460280 + ... + 52679526.

It is an arithmetic number, because the mean of its divisors is an integer number (13710287906304).

Almost surely, 2^{164406632023041} is an apocalyptic number.

It is an amenable number.

164406632023041 is a deficient number, since it is larger than the sum of its proper divisors (54957974477823).

164406632023041 is a wasteful number, since it uses less digits than its factorization.

164406632023041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231340.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 164406632023041 in words is "one hundred sixty-four trillion, four hundred six billion, six hundred thirty-two million, twenty-three thousand, forty-one".