1248509111616 has 560 divisors, whose sum is σ = 4230378971280. Its totient is φ = 360680325120.

The previous prime is 1248509111567. The next prime is 1248509111621. The reversal of 1248509111616 is 6161119058421.

1248509111616 is a `hidden beast` number, since 1 + 2 + 485 + 0 + 9 + 1 + 1 + 161 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 194798649600 + 1053710462016 = 441360^2 + 1026504^2 .

It is a super-2 number, since 2×1248509111616² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 583141906 + ... + 583144046.

It is an arithmetic number, because the mean of its divisors is an integer number (7554248163).

Almost surely, 2^{1248509111616} is an apocalyptic number.

1248509111616 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 1248509111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115189485640).

1248509111616 is an abundant number, since it is smaller than the sum of its proper divisors (2981869859664).

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

1248509111616 is a wasteful number, since it uses less digits than its factorization.

1248509111616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1248509111616 in words is "one trillion, two hundred forty-eight billion, five hundred nine million, one hundred eleven thousand, six hundred sixteen".