436442161244634 has 16 divisors (see below), whose sum is σ = 969871469432640. Its totient is φ = 145480720414860.

The previous prime is 436442161244603. The next prime is 436442161244651.

436442161244634 is a `hidden beast` number, since 4 + 3 + 6 + 4 + 4 + 2 + 161 + 2 + 446 + 34 = 666.

436442161244634 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×436442161244634² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 8082262245271 = 436442161244634 / (4 + 3 + 6 + 4 + 4 + 2 + 1 + 6 + 1 + 2 + 4 + 4 + 6 + 3 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4041131122582 + ... + 4041131122689.

It is an arithmetic number, because the mean of its divisors is an integer number (60616966839540).

Almost surely, 2^{436442161244634} is an apocalyptic number.

436442161244634 is an abundant number, since it is smaller than the sum of its proper divisors (533429308188006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

436442161244634 is a wasteful number, since it uses less digits than its factorization.

436442161244634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082262245282 (or 8082262245276 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 436442161244634 in words is "four hundred thirty-six trillion, four hundred forty-two billion, one hundred sixty-one million, two hundred forty-four thousand, six hundred thirty-four".