164249942461 has 6 divisors (see below), whose sum is σ = 180539193086. Its totient is φ = 149318129400.

The previous prime is 164249942399. The next prime is 164249942473.

164249942461 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 102611949561 + 61637992900 = 320331^2 + 248270^2 .

It is not a de Polignac number, because 164249942461 - 2²⁹ = 163713071549 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164249942399 and 164249942408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164249946461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 678718650 + ... + 678718891.

Almost surely, 2^164249942461 is an apocalyptic number.

164249942461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164249942461 is a deficient number, since it is larger than the sum of its proper divisors (16289250625).

164249942461 is a wasteful number, since it uses less digits than its factorization.

164249942461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357437563 (or 1357437552 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The spelling of 164249942461 in words is "one hundred sixty-four billion, two hundred forty-nine million, nine hundred forty-two thousand, four hundred sixty-one".