164025520461 has 24 divisors (see below), whose sum is σ = 258492106080. Its totient is φ = 99398772000.

The previous prime is 164025520457. The next prime is 164025520507.

164025520461 is a `hidden beast` number, since 1 + 6 + 40 + 2 + 552 + 0 + 4 + 61 = 666.

164025520461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164025520461 - 2² = 164025520457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164025520411) 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, 896530 + ... + 1063868.

It is an arithmetic number, because the mean of its divisors is an integer number (10770504420).

Almost surely, 2^164025520461 is an apocalyptic number.

164025520461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164025520461 is a deficient number, since it is larger than the sum of its proper divisors (94466585619).

164025520461 is a wasteful number, since it uses less digits than its factorization.

164025520461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177257 (or 177254 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 164025 and 520461, that added together give a palindrome (684486).

The spelling of 164025520461 in words is "one hundred sixty-four billion, twenty-five million, five hundred twenty thousand, four hundred sixty-one".