1331752863168 has 336 divisors, whose sum is σ = 4717829975040. Its totient is φ = 349758646272.

The previous prime is 1331752863143. The next prime is 1331752863173. The reversal of 1331752863168 is 8613682571331.

1331752863168 is a `hidden beast` number, since 1 + 3 + 317 + 5 + 2 + 8 + 6 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12474271 + ... + 12580577.

It is an arithmetic number, because the mean of its divisors is an integer number (14041160640).

Almost surely, 2^{1331752863168} is an apocalyptic number.

1331752863168 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 1331752863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358914987520).

1331752863168 is an abundant number, since it is smaller than the sum of its proper divisors (3386077111872).

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

1331752863168 is a wasteful number, since it uses less digits than its factorization.

1331752863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106584 (or 106571 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 1331752863168 in words is "one trillion, three hundred thirty-one billion, seven hundred fifty-two million, eight hundred sixty-three thousand, one hundred sixty-eight".