1331892486288 has 480 divisors, whose sum is σ = 4918761429120. Its totient is φ = 341771996160.

The previous prime is 1331892486271. The next prime is 1331892486289. The reversal of 1331892486288 is 8826842981331.

1331892486288 is a `hidden beast` number, since 1 + 3 + 31 + 89 + 248 + 6 + 288 = 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 (1331892486289) 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 95 ways as a sum of consecutive naturals, for example, 10116403 + ... + 10247213.

It is an arithmetic number, because the mean of its divisors is an integer number (10247419644).

Almost surely, 2^{1331892486288} is an apocalyptic number.

1331892486288 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 1331892486288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459380714560).

1331892486288 is an abundant number, since it is smaller than the sum of its proper divisors (3586868942832).

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

1331892486288 is a wasteful number, since it uses less digits than its factorization.

1331892486288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130892 (or 130873 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 1331892486288 in words is "one trillion, three hundred thirty-one billion, eight hundred ninety-two million, four hundred eighty-six thousand, two hundred eighty-eight".