10083693144096 has 360 divisors, whose sum is σ = 35104409610732. Its totient is φ = 2820612326400.

The previous prime is 10083693144079. The next prime is 10083693144137. The reversal of 10083693144096 is 69044139638001.

10083693144096 is a `hidden beast` number, since 1 + 0 + 0 + 83 + 6 + 9 + 31 + 440 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9888735572496 + 194957571600 = 3144636^2 + 441540^2 .

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2840626 + ... + 5313806.

Almost surely, 2^{10083693144096} is an apocalyptic number.

10083693144096 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 10083693144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552204805366).

10083693144096 is an abundant number, since it is smaller than the sum of its proper divisors (25020716466636).

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

10083693144096 is a wasteful number, since it uses less digits than its factorization.

10083693144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473238 (or 2473210 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10083693144096 in words is "ten trillion, eighty-three billion, six hundred ninety-three million, one hundred forty-four thousand, ninety-six".