11842662729408 has 448 divisors, whose sum is σ = 37320301117440. Its totient is φ = 3243106713600.

The previous prime is 11842662729319. The next prime is 11842662729437. The reversal of 11842662729408 is 80492726624811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 3236582683 + ... + 3236586341.

Almost surely, 2^{11842662729408} 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 11842662729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18660150558720).

11842662729408 is an abundant number, since it is smaller than the sum of its proper divisors (25477638388032).

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

11842662729408 is a wasteful number, since it uses less digits than its factorization.

11842662729408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 11842662729408 in words is "eleven trillion, eight hundred forty-two billion, six hundred sixty-two million, seven hundred twenty-nine thousand, four hundred eight".