164734282437461 has 16 divisors (see below), whose sum is σ = 186479423589888. Its totient is φ = 144215463260400.

The previous prime is 164734282437443. The next prime is 164734282437503.

It is a happy number.

164734282437461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164734282437461 - 2³⁸ = 164459404530517 is a prime.

It is a super-2 number, since 2×164734282437461² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164734282437394 and 164734282437403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164734282437161) 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, 2452610351 + ... + 2452677516.

It is an arithmetic number, because the mean of its divisors is an integer number (11654963974368).

Almost surely, 2^{164734282437461} is an apocalyptic number.

164734282437461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164734282437461 is a deficient number, since it is larger than the sum of its proper divisors (21745141152427).

164734282437461 is a wasteful number, since it uses less digits than its factorization.

164734282437461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905287992.

The product of its digits is 130056192, while the sum is 62.

The spelling of 164734282437461 in words is "one hundred sixty-four trillion, seven hundred thirty-four billion, two hundred eighty-two million, four hundred thirty-seven thousand, four hundred sixty-one".