16468820287488 has 448 divisors, whose sum is σ = 49522375123200. Its totient is φ = 5407995985920.

The previous prime is 16468820287487. The next prime is 16468820287583. The reversal of 16468820287488 is 88478202886461.

16468820287488 is a `hidden beast` number, since 1 + 6 + 4 + 68 + 8 + 2 + 0 + 2 + 87 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16468820287487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7692114898 + ... + 7692117038.

It is an arithmetic number, because the mean of its divisors is an integer number (110541015900).

Almost surely, 2^{16468820287488} is an apocalyptic number.

16468820287488 is a gapful number since it is divisible by the number (18) 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 16468820287488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24761187561600).

16468820287488 is an abundant number, since it is smaller than the sum of its proper divisors (33053554835712).

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

16468820287488 is an equidigital number, since it uses as much as digits as its factorization.

16468820287488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 16468820287488 in words is "sixteen trillion, four hundred sixty-eight billion, eight hundred twenty million, two hundred eighty-seven thousand, four hundred eighty-eight".