13454689074768 has 100 divisors (see below), whose sum is σ = 39994254216180. Its totient is φ = 4363682927616.

The previous prime is 13454689074763. The next prime is 13454689074797. The reversal of 13454689074768 is 86747098645431.

13454689074768 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 68 + 90 + 7 + 476 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12335773621824 + 1118915452944 = 3512232^2 + 1057788^2 .

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 = 13454689074696 and 13454689074705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13454689074763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140245353 + ... + 140341256.

Almost surely, 2^{13454689074768} is an apocalyptic number.

13454689074768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13454689074768 is an abundant number, since it is smaller than the sum of its proper divisors (26539565141412).

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

13454689074768 is a wasteful number, since it uses less digits than its factorization.

13454689074768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280586666 (or 280586651 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 13454689074768 in words is "thirteen trillion, four hundred fifty-four billion, six hundred eighty-nine million, seventy-four thousand, seven hundred sixty-eight".