232661978013696 has 2688 divisors, whose sum is σ = 863648027246592. Its totient is φ = 54281738649600.

The previous prime is 232661978013637. The next prime is 232661978013737. The reversal of 232661978013696 is 696310879166232.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a self number, because there is not a number n which added to its sum of digits gives 232661978013696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1393185497005 + ... + 1393185497171.

It is an arithmetic number, because the mean of its divisors is an integer number (321297629184).

Almost surely, 2^{232661978013696} 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 232661978013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431824013623296).

232661978013696 is an abundant number, since it is smaller than the sum of its proper divisors (630986049232896).

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

232661978013696 is a wasteful number, since it uses less digits than its factorization.

232661978013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 69.

The spelling of 232661978013696 in words is "two hundred thirty-two trillion, six hundred sixty-one billion, nine hundred seventy-eight million, thirteen thousand, six hundred ninety-six".