1461987239328 has 1296 divisors, whose sum is σ = 5579014371840. Its totient is φ = 361380096000.

The previous prime is 1461987239327. The next prime is 1461987239441. The reversal of 1461987239328 is 8239327891641.

1461987239328 is a `hidden beast` number, since 1 + 4 + 619 + 8 + 7 + 2 + 3 + 9 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1461987239327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3758321758 + ... + 3758322146.

It is an arithmetic number, because the mean of its divisors is an integer number (4304795040).

Almost surely, 2^{1461987239328} is an apocalyptic number.

1461987239328 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 1461987239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789507185920).

1461987239328 is an abundant number, since it is smaller than the sum of its proper divisors (4117027132512).

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

1461987239328 is a wasteful number, since it uses less digits than its factorization.

1461987239328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 514 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 1461987239328 in words is "one trillion, four hundred sixty-one billion, nine hundred eighty-seven million, two hundred thirty-nine thousand, three hundred twenty-eight".