1243434205664 has 192 divisors, whose sum is σ = 2980802571264. Its totient is φ = 499113517056.

The previous prime is 1243434205661. The next prime is 1243434205703. The reversal of 1243434205664 is 4665024343421.

It is a happy number.

It is a super-2 number, since 2×1243434205664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243434205661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48307742 + ... + 48333474.

It is an arithmetic number, because the mean of its divisors is an integer number (15525013392).

Almost surely, 2^{1243434205664} is an apocalyptic number.

1243434205664 is a gapful number since it is divisible by the number (14) 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 1243434205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490401285632).

1243434205664 is an abundant number, since it is smaller than the sum of its proper divisors (1737368365600).

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

1243434205664 is a wasteful number, since it uses less digits than its factorization.

1243434205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25969 (or 25961 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 1243434205664 in words is "one trillion, two hundred forty-three billion, four hundred thirty-four million, two hundred five thousand, six hundred sixty-four".