1606748399712 has 216 divisors, whose sum is σ = 4825750535424. Its totient is φ = 507034556928.

The previous prime is 1606748399653. The next prime is 1606748399713. The reversal of 1606748399712 is 2179938476061.

1606748399712 is a `hidden beast` number, since 1 + 6 + 0 + 67 + 483 + 9 + 97 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1606748399712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606748399713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172894138 + ... + 172903430.

It is an arithmetic number, because the mean of its divisors is an integer number (22341437664).

Almost surely, 2^{1606748399712} is an apocalyptic number.

1606748399712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606748399712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412875267712).

1606748399712 is an abundant number, since it is smaller than the sum of its proper divisors (3219002135712).

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

1606748399712 is a wasteful number, since it uses less digits than its factorization.

1606748399712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1606748399712 in words is "one trillion, six hundred six billion, seven hundred forty-eight million, three hundred ninety-nine thousand, seven hundred twelve".