1585147266144 has 576 divisors, whose sum is σ = 5264132328000. Its totient is φ = 448079855616.

The previous prime is 1585147266133. The next prime is 1585147266179. The reversal of 1585147266144 is 4416627415851.

1585147266144 is a `hidden beast` number, since 1 + 5 + 8 + 5 + 14 + 7 + 2 + 6 + 614 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559528152 + ... + 559530984.

It is an arithmetic number, because the mean of its divisors is an integer number (9139118625).

Almost surely, 2^{1585147266144} 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 1585147266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632066164000).

1585147266144 is an abundant number, since it is smaller than the sum of its proper divisors (3678985061856).

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

1585147266144 is a wasteful number, since it uses less digits than its factorization.

1585147266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3076 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 1585147266144 in words is "one trillion, five hundred eighty-five billion, one hundred forty-seven million, two hundred sixty-six thousand, one hundred forty-four".