1006351462992 has 20 divisors (see below), whose sum is σ = 2599741279520. Its totient is φ = 335450487648.

The previous prime is 1006351462973. The next prime is 1006351462997. The reversal of 1006351462992 is 2992641536001.

It is a super-2 number, since 2×1006351462992² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 20965655479 = 1006351462992 / (1 + 0 + 0 + 6 + 3 + 5 + 1 + 4 + 6 + 2 + 9 + 9 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006351462997) 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 3 ways as a sum of consecutive naturals, for example, 10482827692 + ... + 10482827787.

It is an arithmetic number, because the mean of its divisors is an integer number (129987063976).

Almost surely, 2^{1006351462992} is an apocalyptic number.

1006351462992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006351462992 is an abundant number, since it is smaller than the sum of its proper divisors (1593389816528).

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

1006351462992 is a wasteful number, since it uses less digits than its factorization.

1006351462992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20965655490 (or 20965655484 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

Adding to 1006351462992 its reverse (2992641536001), we get a palindrome (3998992998993).

The spelling of 1006351462992 in words is "one trillion, six billion, three hundred fifty-one million, four hundred sixty-two thousand, nine hundred ninety-two".