13653190944 has 144 divisors (see below), whose sum is σ = 40043989440. Its totient is φ = 4410524160.

The previous prime is 13653190939. The next prime is 13653190961. The reversal of 13653190944 is 44909135631.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13653190944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13653190944.

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, 1200774 + ... + 1212090.

It is an arithmetic number, because the mean of its divisors is an integer number (278083260).

Almost surely, 2^13653190944 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 13653190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021994720).

13653190944 is an abundant number, since it is smaller than the sum of its proper divisors (26390798496).

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

13653190944 is a wasteful number, since it uses less digits than its factorization.

13653190944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11463 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

It can be divided in two parts, 136531 and 90944, that added together give a triangular number (227475 = T₆₇₄).

The spelling of 13653190944 in words is "thirteen billion, six hundred fifty-three million, one hundred ninety thousand, nine hundred forty-four".