1032313661568 has 192 divisors, whose sum is σ = 3459017390400. Its totient is φ = 289381607424.

The previous prime is 1032313661567. The next prime is 1032313661569. The reversal of 1032313661568 is 8651663132301.

1032313661568 is a `hidden beast` number, since 1 + 0 + 3 + 23 + 1 + 3 + 6 + 61 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (1032313661567) and next prime (1032313661569).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1032313661567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780298 + ... + 1635081.

It is an arithmetic number, because the mean of its divisors is an integer number (18015715575).

Almost surely, 2^{1032313661568} is an apocalyptic number.

1032313661568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1032313661568 is an abundant number, since it is smaller than the sum of its proper divisors (2426703728832).

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

1032313661568 is a wasteful number, since it uses less digits than its factorization.

1032313661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415459 (or 2415444 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 1032313661568 its reverse (8651663132301), we get a palindrome (9683976793869).

The spelling of 1032313661568 in words is "one trillion, thirty-two billion, three hundred thirteen million, six hundred sixty-one thousand, five hundred sixty-eight".