1663129240344 has 256 divisors, whose sum is σ = 5446668326400. Its totient is φ = 463564684800.

The previous prime is 1663129240337. The next prime is 1663129240411. The reversal of 1663129240344 is 4430429213661.

1663129240344 is a `hidden beast` number, since 1 + 6 + 63 + 1 + 2 + 9 + 240 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1663129240344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8646174 + ... + 8836434.

It is an arithmetic number, because the mean of its divisors is an integer number (21276048150).

Almost surely, 2^{1663129240344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663129240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723334163200).

1663129240344 is an abundant number, since it is smaller than the sum of its proper divisors (3783539086056).

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

1663129240344 is a wasteful number, since it uses less digits than its factorization.

1663129240344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190583 (or 190573 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1663129240344 in words is "one trillion, six hundred sixty-three billion, one hundred twenty-nine million, two hundred forty thousand, three hundred forty-four".