11642129856 has 336 divisors, whose sum is σ = 41690787840. Its totient is φ = 3029114880.

The previous prime is 11642129833. The next prime is 11642129869. The reversal of 11642129856 is 65892124611.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122125 + ... + 2127603.

Almost surely, 2^11642129856 is an apocalyptic number.

11642129856 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 11642129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845393920).

11642129856 is an abundant number, since it is smaller than the sum of its proper divisors (30048657984).

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

11642129856 is a wasteful number, since it uses less digits than its factorization.

11642129856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5539 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 11642129856 in words is "eleven billion, six hundred forty-two million, one hundred twenty-nine thousand, eight hundred fifty-six".