1606214331144 has 256 divisors, whose sum is σ = 4720584960000. Its totient is φ = 504635588352.

The previous prime is 1606214331131. The next prime is 1606214331149. The reversal of 1606214331144 is 4411334126061.

1606214331144 is a `hidden beast` number, since 1 + 60 + 6 + 21 + 433 + 1 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1606214331099 and 1606214331108.

It is not an unprimeable number, because it can be changed into a prime (1606214331149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 782373222 + ... + 782375274.

It is an arithmetic number, because the mean of its divisors is an integer number (18439785000).

Almost surely, 2^{1606214331144} 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 1606214331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360292480000).

1606214331144 is an abundant number, since it is smaller than the sum of its proper divisors (3114370628856).

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

1606214331144 is a wasteful number, since it uses less digits than its factorization.

1606214331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1606214331144 in words is "one trillion, six hundred six billion, two hundred fourteen million, three hundred thirty-one thousand, one hundred forty-four".