13641700384 has 96 divisors (see below), whose sum is σ = 30595549824. Its totient is φ = 5939619840.

The previous prime is 13641700367. The next prime is 13641700409. The reversal of 13641700384 is 48300714631.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688699 + ... + 708229.

It is an arithmetic number, because the mean of its divisors is an integer number (318703644).

Almost surely, 2^13641700384 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 13641700384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297774912).

13641700384 is an abundant number, since it is smaller than the sum of its proper divisors (16953849440).

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

13641700384 is a wasteful number, since it uses less digits than its factorization.

13641700384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650 (or 19642 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

It can be divided in two parts, 13641 and 700384, that added together give a square (714025 = 845²).

The spelling of 13641700384 in words is "thirteen billion, six hundred forty-one million, seven hundred thousand, three hundred eighty-four".