164400473241 has 72 divisors (see below), whose sum is σ = 257065099200. Its totient is φ = 101194836480.

The previous prime is 164400473239. The next prime is 164400473243. The reversal of 164400473241 is 142374004461.

164400473241 is a `hidden beast` number, since 1 + 6 + 4 + 400 + 4 + 7 + 3 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (164400473239) and next prime (164400473243).

It is not a de Polignac number, because 164400473241 - 2¹ = 164400473239 is a prime.

It is a super-3 number, since 3×164400473241³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164400473196 and 164400473205.

It is not an unprimeable number, because it can be changed into a prime (164400473243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108801676 + ... + 108803186.

It is an arithmetic number, because the mean of its divisors is an integer number (3570348600).

Almost surely, 2^164400473241 is an apocalyptic number.

It is an amenable number.

164400473241 is a deficient number, since it is larger than the sum of its proper divisors (92664625959).

164400473241 is a wasteful number, since it uses less digits than its factorization.

164400473241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 164400473241 in words is "one hundred sixty-four billion, four hundred million, four hundred seventy-three thousand, two hundred forty-one".