13761481497368 has 64 divisors (see below), whose sum is σ = 28491511104000. Its totient is φ = 6179011390080.

The previous prime is 13761481497367. The next prime is 13761481497389. The reversal of 13761481497368 is 86379418416731.

It is a super-2 number, since 2×13761481497368² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13761481497298 and 13761481497307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13761481497367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55013105 + ... + 55262687.

It is an arithmetic number, because the mean of its divisors is an integer number (445179861000).

Almost surely, 2^{13761481497368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13761481497368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245755552000).

13761481497368 is an abundant number, since it is smaller than the sum of its proper divisors (14730029606632).

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

13761481497368 is a wasteful number, since it uses less digits than its factorization.

13761481497368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257232 (or 257228 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 68.

The spelling of 13761481497368 in words is "thirteen trillion, seven hundred sixty-one billion, four hundred eighty-one million, four hundred ninety-seven thousand, three hundred sixty-eight".