1605991014144 has 288 divisors, whose sum is σ = 5278710124800. Its totient is φ = 477480407040.

The previous prime is 1605991014143. The next prime is 1605991014149. The reversal of 1605991014144 is 4414101995061.

1605991014144 is a `hidden beast` number, since 1 + 6 + 0 + 599 + 1 + 0 + 14 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1605991014144² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1605991014144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605991014143) 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 31 ways as a sum of consecutive naturals, for example, 3830427 + ... + 4228965.

It is an arithmetic number, because the mean of its divisors is an integer number (18328854600).

Almost surely, 2^{1605991014144} 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 1605991014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639355062400).

1605991014144 is an abundant number, since it is smaller than the sum of its proper divisors (3672719110656).

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

1605991014144 is a wasteful number, since it uses less digits than its factorization.

1605991014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398628 (or 398608 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1605991014144 in words is "one trillion, six hundred five billion, nine hundred ninety-one million, fourteen thousand, one hundred forty-four".