164405601763 has 16 divisors (see below), whose sum is σ = 179562851776. Its totient is φ = 149608995840.

The previous prime is 164405601713. The next prime is 164405601799. The reversal of 164405601763 is 367106504461.

It is a cyclic number.

It is not a de Polignac number, because 164405601763 - 2²⁵ = 164372047331 is a prime.

It is a super-3 number, since 3×164405601763³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164405601713) 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, 2010706 + ... + 2090872.

It is an arithmetic number, because the mean of its divisors is an integer number (11222678236).

Almost surely, 2^164405601763 is an apocalyptic number.

164405601763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

164405601763 is a deficient number, since it is larger than the sum of its proper divisors (15157250013).

164405601763 is a wasteful number, since it uses less digits than its factorization.

164405601763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82414.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 164405601763 in words is "one hundred sixty-four billion, four hundred five million, six hundred one thousand, seven hundred sixty-three".