1243829105664 has 176 divisors, whose sum is σ = 3436739414400. Its totient is φ = 399476883456.

The previous prime is 1243829105641. The next prime is 1243829105689. The reversal of 1243829105664 is 4665019283421.

It is a happy number.

It is a super-2 number, since 2×1243829105664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 43371522 + ... + 43400190.

Almost surely, 2^{1243829105664} 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 1243829105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718369707200).

1243829105664 is an abundant number, since it is smaller than the sum of its proper divisors (2192910308736).

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

1243829105664 is a wasteful number, since it uses less digits than its factorization.

1243829105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29208 (or 29190 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1243829105664 in words is "one trillion, two hundred forty-three billion, eight hundred twenty-nine million, one hundred five thousand, six hundred sixty-four".