164400707061 has 24 divisors (see below), whose sum is σ = 244015775640. Its totient is φ = 106581436416.

The previous prime is 164400707047. The next prime is 164400707077. The reversal of 164400707061 is 160707004461.

164400707061 is a `hidden beast` number, since 1 + 64 + 400 + 70 + 70 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50093154225 + 114307552836 = 223815^2 + 338094^2 .

It is not a de Polignac number, because 164400707061 - 2⁶ = 164400706997 is a prime.

It is a super-3 number, since 3×164400707061³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164400777061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498361 + ... + 759713.

It is an arithmetic number, because the mean of its divisors is an integer number (10167323985).

Almost surely, 2^164400707061 is an apocalyptic number.

It is an amenable number.

164400707061 is a deficient number, since it is larger than the sum of its proper divisors (79615068579).

164400707061 is a wasteful number, since it uses less digits than its factorization.

164400707061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263285 (or 263282 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 164400707061 in words is "one hundred sixty-four billion, four hundred million, seven hundred seven thousand, sixty-one".