13953492096768 has 1080 divisors, whose sum is σ = 49198807968128. Its totient is φ = 3943653267456.

The previous prime is 13953492096763. The next prime is 13953492096799. The reversal of 13953492096768 is 86769029435931.

13953492096768 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 349 + 209 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13953492096696 and 13953492096705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13953492096763) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15384224571 + ... + 15384225477.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13953492096768 = 27906984193536, but 3⋅13953492096768 = 41860476290304 is not.

Almost surely, 2^{13953492096768} is an apocalyptic number.

13953492096768 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 13953492096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24599403984064).

13953492096768 is an abundant number, since it is smaller than the sum of its proper divisors (35245315871360).

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

13953492096768 is an frugal number, since it uses more digits than its factorization.

13953492096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 13953492096768 in words is "thirteen trillion, nine hundred fifty-three billion, four hundred ninety-two million, ninety-six thousand, seven hundred sixty-eight".