2153446010226 has 256 divisors, whose sum is σ = 5568382955520. Its totient is φ = 604223193600.

The previous prime is 2153446010147. The next prime is 2153446010267. The reversal of 2153446010226 is 6220106443512.

2153446010226 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 44 + 601 + 0 + 2 + 2 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3668561905 + ... + 3668562491.

It is an arithmetic number, because the mean of its divisors is an integer number (21751495920).

Almost surely, 2^{2153446010226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153446010226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784191477760).

2153446010226 is an abundant number, since it is smaller than the sum of its proper divisors (3414936945294).

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

2153446010226 is a wasteful number, since it uses less digits than its factorization.

2153446010226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2153446010226 in words is "two trillion, one hundred fifty-three billion, four hundred forty-six million, ten thousand, two hundred twenty-six".