13453996092768 has 576 divisors, whose sum is σ = 49842082563840. Its totient is φ = 3491399116800.

The previous prime is 13453996092751. The next prime is 13453996092821. The reversal of 13453996092768 is 86729069935431.

13453996092768 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 3 + 9 + 9 + 609 + 2 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×13453996092768² (a number of 27 digits) contains 22 as substring.

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 = 13453996092696 and 13453996092705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541592028 + ... + 541616868.

It is an arithmetic number, because the mean of its divisors is an integer number (86531393340).

It is a 1-persistent number, because it is pandigital, but 2⋅13453996092768 = 26907992185536 is not.

Almost surely, 2^{13453996092768} is an apocalyptic number.

13453996092768 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 13453996092768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24921041281920).

13453996092768 is an abundant number, since it is smaller than the sum of its proper divisors (36388086471072).

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

13453996092768 is a wasteful number, since it uses less digits than its factorization.

13453996092768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26048 (or 26027 counting only the distinct ones).

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

The spelling of 13453996092768 in words is "thirteen trillion, four hundred fifty-three billion, nine hundred ninety-six million, ninety-two thousand, seven hundred sixty-eight".