1031663249136 has 320 divisors, whose sum is σ = 3362701440000. Its totient is φ = 300207098880.

The previous prime is 1031663249077. The next prime is 1031663249153. The reversal of 1031663249136 is 6319423661301.

It is a happy number.

1031663249136 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 6 + 632 + 4 + 9 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1031663249091 and 1031663249100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63907626 + ... + 63923766.

It is an arithmetic number, because the mean of its divisors is an integer number (10508442000).

Almost surely, 2^{1031663249136} is an apocalyptic number.

1031663249136 is a gapful number since it is divisible by the number (16) 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 1031663249136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681350720000).

1031663249136 is an abundant number, since it is smaller than the sum of its proper divisors (2331038190864).

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

1031663249136 is a wasteful number, since it uses less digits than its factorization.

1031663249136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16789 (or 16777 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 1031663249136 in words is "one trillion, thirty-one billion, six hundred sixty-three million, two hundred forty-nine thousand, one hundred thirty-six".