2146050650106 has 288 divisors, whose sum is σ = 5386159554048. Its totient is φ = 616286880000.

The previous prime is 2146050650101. The next prime is 2146050650141. The reversal of 2146050650106 is 6010560506412.

2146050650106 is a `hidden beast` number, since 2 + 1 + 46 + 0 + 506 + 5 + 0 + 106 = 666.

It is a super-2 number, since 2×2146050650106² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2146050650101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 818789476 + ... + 818792096.

It is an arithmetic number, because the mean of its divisors is an integer number (18701942896).

Almost surely, 2^{2146050650106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146050650106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693079777024).

2146050650106 is an abundant number, since it is smaller than the sum of its proper divisors (3240108903942).

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

2146050650106 is a wasteful number, since it uses less digits than its factorization.

2146050650106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2146050650106 in words is "two trillion, one hundred forty-six billion, fifty million, six hundred fifty thousand, one hundred six".