13190774688 has 576 divisors, whose sum is σ = 48408901632. Its totient is φ = 3314442240.

The previous prime is 13190774687. The next prime is 13190774693. The reversal of 13190774688 is 88647709131.

13190774688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13190774683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59151345 + ... + 59151567.

It is an arithmetic number, because the mean of its divisors is an integer number (84043232).

Almost surely, 2^13190774688 is an apocalyptic number.

13190774688 is a gapful number since it is divisible by the number (18) 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 13190774688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24204450816).

13190774688 is an abundant number, since it is smaller than the sum of its proper divisors (35218126944).

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

13190774688 is a wasteful number, since it uses less digits than its factorization.

13190774688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 13190774688 in words is "thirteen billion, one hundred ninety million, seven hundred seventy-four thousand, six hundred eighty-eight".