164259952461 has 16 divisors (see below), whose sum is σ = 265470630720. Its totient is φ = 99551486160.

The previous prime is 164259952453. The next prime is 164259952489.

It is a happy number.

164259952461 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 59 + 9 + 524 + 61 = 666.

164259952461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164259952461 - 2³ = 164259952453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164259952398 and 164259952407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164259952421) 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, 276531610 + ... + 276532203.

It is an arithmetic number, because the mean of its divisors is an integer number (16591914420).

Almost surely, 2^164259952461 is an apocalyptic number.

164259952461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164259952461 is a deficient number, since it is larger than the sum of its proper divisors (101210678259).

164259952461 is a wasteful number, since it uses less digits than its factorization.

164259952461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553063833 (or 553063827 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 164259952461 in words is "one hundred sixty-four billion, two hundred fifty-nine million, nine hundred fifty-two thousand, four hundred sixty-one".