437064378212100 has 144 divisors (see below), whose sum is σ = 1319626336758912. Its totient is φ = 111477007319040.

The previous prime is 437064378212053. The next prime is 437064378212129. The reversal of 437064378212100 is 1212873460734.

It is a self number, because there is not a number n which added to its sum of digits gives 437064378212100.

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 47 ways as a sum of consecutive naturals, for example, 125469514 + ... + 128905886.

It is an arithmetic number, because the mean of its divisors is an integer number (9164071783048).

Almost surely, 2^{437064378212100} 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 437064378212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659813168379456).

437064378212100 is an abundant number, since it is smaller than the sum of its proper divisors (882561958546812).

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

437064378212100 is a wasteful number, since it uses less digits than its factorization.

437064378212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454846 (or 3454839 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 437064378212100 in words is "four hundred thirty-seven trillion, sixty-four billion, three hundred seventy-eight million, two hundred twelve thousand, one hundred".