1768383332352 has 840 divisors, whose sum is σ = 6530241857216. Its totient is φ = 466100158464.

The previous prime is 1768383332311. The next prime is 1768383332357. The reversal of 1768383332352 is 2532333838671.

1768383332352 is a `hidden beast` number, since 1 + 76 + 8 + 3 + 8 + 333 + 235 + 2 = 666.

It is a super-2 number, since 2×1768383332352² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1768383332357) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1086897363 + ... + 1086898989.

Almost surely, 2^{1768383332352} is an apocalyptic number.

1768383332352 is a gapful number since it is divisible by the number (12) 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 1768383332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265120928608).

1768383332352 is an abundant number, since it is smaller than the sum of its proper divisors (4761858524864).

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

1768383332352 is an frugal number, since it uses more digits than its factorization.

1768383332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1652 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 1768383332352 in words is "one trillion, seven hundred sixty-eight billion, three hundred eighty-three million, three hundred thirty-two thousand, three hundred fifty-two".