13933692444672 has 2688 divisors, whose sum is σ = 57471207505920. Its totient is φ = 3237921423360.

The previous prime is 13933692444671. The next prime is 13933692444733. The reversal of 13933692444672 is 27644429633931.

It is a happy number.

13933692444672 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 36 + 92 + 4 + 446 + 72 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13933692444671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135278567373 + ... + 135278567475.

Almost surely, 2^{13933692444672} is an apocalyptic number.

13933692444672 is a gapful number since it is divisible by the number (12) 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 13933692444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28735603752960).

13933692444672 is an abundant number, since it is smaller than the sum of its proper divisors (43537515061248).

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

13933692444672 is a wasteful number, since it uses less digits than its factorization.

13933692444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 63.

The spelling of 13933692444672 in words is "thirteen trillion, nine hundred thirty-three billion, six hundred ninety-two million, four hundred forty-four thousand, six hundred seventy-two".