11831690570336 has 144 divisors (see below), whose sum is σ = 29376898009200. Its totient is φ = 4649253719040.

The previous prime is 11831690570309. The next prime is 11831690570353. The reversal of 11831690570336 is 63307509613811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089431 + ... + 4985001.

It is an arithmetic number, because the mean of its divisors is an integer number (204006236175).

Almost surely, 2^{11831690570336} is an apocalyptic number.

11831690570336 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 11831690570336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688449004600).

11831690570336 is an abundant number, since it is smaller than the sum of its proper divisors (17545207438864).

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

11831690570336 is a wasteful number, since it uses less digits than its factorization.

11831690570336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895757 (or 3895742 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 11831690570336 in words is "eleven trillion, eight hundred thirty-one billion, six hundred ninety million, five hundred seventy thousand, three hundred thirty-six".