436842162164100 has 576 divisors, whose sum is σ = 1582613598246912. Its totient is φ = 90381215232000.

The previous prime is 436842162164087. The next prime is 436842162164113. The reversal of 436842162164100 is 1461261248634.

It is an interprime number because it is at equal distance from previous prime (436842162164087) and next prime (436842162164113).

It is a self number, because there is not a number n which added to its sum of digits gives 436842162164100.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5316216015 + ... + 5316298185.

It is an arithmetic number, because the mean of its divisors is an integer number (2747593052512).

Almost surely, 2^{436842162164100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436842162164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791306799123456).

436842162164100 is an abundant number, since it is smaller than the sum of its proper divisors (1145771436082812).

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

436842162164100 is a wasteful number, since it uses less digits than its factorization.

436842162164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83196 (or 83189 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 436842162164100 in words is "four hundred thirty-six trillion, eight hundred forty-two billion, one hundred sixty-two million, one hundred sixty-four thousand, one hundred".