1359988012416 has 512 divisors, whose sum is σ = 4302553489920. Its totient is φ = 375888936960.

The previous prime is 1359988012391. The next prime is 1359988012423. The reversal of 1359988012416 is 6142108899531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778469655 + ... + 778471401.

It is an arithmetic number, because the mean of its divisors is an integer number (8403424785).

Almost surely, 2^{1359988012416} is an apocalyptic number.

1359988012416 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 1359988012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151276744960).

1359988012416 is an abundant number, since it is smaller than the sum of its proper divisors (2942565477504).

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

1359988012416 is a wasteful number, since it uses less digits than its factorization.

1359988012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 1359988012416 in words is "one trillion, three hundred fifty-nine billion, nine hundred eighty-eight million, twelve thousand, four hundred sixteen".