1605197286144 has 432 divisors, whose sum is σ = 4782051237600. Its totient is φ = 517624233984.

The previous prime is 1605197286047. The next prime is 1605197286227. The reversal of 1605197286144 is 4416827915061.

1605197286144 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 19 + 7 + 2 + 8 + 614 + 4 = 666.

It is a super-2 number, since 2×1605197286144² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3831019567 + ... + 3831019985.

It is an arithmetic number, because the mean of its divisors is an integer number (11069563050).

Almost surely, 2^{1605197286144} 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 1605197286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391025618800).

1605197286144 is an abundant number, since it is smaller than the sum of its proper divisors (3176853951456).

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

1605197286144 is a wasteful number, since it uses less digits than its factorization.

1605197286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1605197286144 in words is "one trillion, six hundred five billion, one hundred ninety-seven million, two hundred eighty-six thousand, one hundred forty-four".