4312645472106 has 64 divisors (see below), whose sum is σ = 9710124480000. Its totient is φ = 1418597646336.

The previous prime is 4312645471993. The next prime is 4312645472119. The reversal of 4312645472106 is 6012745462134.

4312645472106 is a `hidden beast` number, since 4 + 3 + 1 + 26 + 454 + 72 + 106 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7790890 + ... + 8326058.

It is an arithmetic number, because the mean of its divisors is an integer number (151720695000).

Almost surely, 2^{4312645472106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312645472106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855062240000).

4312645472106 is an abundant number, since it is smaller than the sum of its proper divisors (5397479007894).

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

4312645472106 is a wasteful number, since it uses less digits than its factorization.

4312645472106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537148 (or 537142 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4312645472106 in words is "four trillion, three hundred twelve billion, six hundred forty-five million, four hundred seventy-two thousand, one hundred six".