1531229526144 has 320 divisors, whose sum is σ = 4703442400800. Its totient is φ = 494256660480.

The previous prime is 1531229526131. The next prime is 1531229526191. The reversal of 1531229526144 is 4416259221351.

1531229526144 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 2 + 29 + 5 + 2 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1531229526144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40966024 + ... + 41003384.

Almost surely, 2^{1531229526144} 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 1531229526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351721200400).

1531229526144 is an abundant number, since it is smaller than the sum of its proper divisors (3172212874656).

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

1531229526144 is an equidigital number, since it uses as much as digits as its factorization.

1531229526144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37513 (or 37492 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 1531229526144 in words is "one trillion, five hundred thirty-one billion, two hundred twenty-nine million, five hundred twenty-six thousand, one hundred forty-four".