13663096233600 has 384 divisors, whose sum is σ = 50291419268160. Its totient is φ = 3231477760000.

The previous prime is 13663096233593. The next prime is 13663096233617. The reversal of 13663096233600 is 633269036631.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13663096233600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13663096233600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2751730 + ... + 5907470.

Almost surely, 2^{13663096233600} is an apocalyptic number.

13663096233600 is a gapful number since it is divisible by the number (10) 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 13663096233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25145709634080).

13663096233600 is an abundant number, since it is smaller than the sum of its proper divisors (36628323034560).

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

13663096233600 is a wasteful number, since it uses less digits than its factorization.

13663096233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155820 (or 3155803 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 48.

The spelling of 13663096233600 in words is "thirteen trillion, six hundred sixty-three billion, ninety-six million, two hundred thirty-three thousand, six hundred".