1581344572416 has 352 divisors, whose sum is σ = 4933237248000. Its totient is φ = 441039126528.

The previous prime is 1581344572397. The next prime is 1581344572417. The reversal of 1581344572416 is 6142754431851.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1581344572417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151189395 + ... + 151199853.

Almost surely, 2^{1581344572416} is an apocalyptic number.

1581344572416 is a gapful number since it is divisible by the number (16) 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 1581344572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466618624000).

1581344572416 is an abundant number, since it is smaller than the sum of its proper divisors (3351892675584).

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

1581344572416 is a wasteful number, since it uses less digits than its factorization.

1581344572416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10639 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 1581344572416 in words is "one trillion, five hundred eighty-one billion, three hundred forty-four million, five hundred seventy-two thousand, four hundred sixteen".