1601226118296 has 256 divisors, whose sum is σ = 5168107929600. Its totient is φ = 449880469632.

The previous prime is 1601226118241. The next prime is 1601226118301. The reversal of 1601226118296 is 6928116221061.

1601226118296 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 2 + 2 + 611 + 8 + 29 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59451985 + ... + 59478911.

It is an arithmetic number, because the mean of its divisors is an integer number (20187921600).

Almost surely, 2^{1601226118296} 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 1601226118296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584053964800).

1601226118296 is an abundant number, since it is smaller than the sum of its proper divisors (3566881811304).

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

1601226118296 is a wasteful number, since it uses less digits than its factorization.

1601226118296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27603 (or 27593 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1601226118296 in words is "one trillion, six hundred one billion, two hundred twenty-six million, one hundred eighteen thousand, two hundred ninety-six".