164177630441 has 12 divisors (see below), whose sum is σ = 191074988916. Its totient is φ = 140472837120.

The previous prime is 164177630413. The next prime is 164177630443. The reversal of 164177630441 is 144036771461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 152877090025 + 11300540416 = 390995^2 + 106304^2 .

It is not a de Polignac number, because 164177630441 - 2¹⁰ = 164177629417 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164177630392 and 164177630401.

It is not an unprimeable number, because it can be changed into a prime (164177630443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39905000 + ... + 39909113.

It is an arithmetic number, because the mean of its divisors is an integer number (15922915743).

Almost surely, 2^164177630441 is an apocalyptic number.

164177630441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164177630441 is a deficient number, since it is larger than the sum of its proper divisors (26897358475).

164177630441 is a wasteful number, since it uses less digits than its factorization.

164177630441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79814152 (or 79814141 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 164177630441 in words is "one hundred sixty-four billion, one hundred seventy-seven million, six hundred thirty thousand, four hundred forty-one".