13968400061 has 48 divisors (see below), whose sum is σ = 18098563392. Its totient is φ = 10657785600.

The previous prime is 13968400051. The next prime is 13968400079. The reversal of 13968400061 is 16000486931.

It is a de Polignac number, because none of the positive numbers 2^k-13968400061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13968399988 and 13968400024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13968400051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6535385 + ... + 6537521.

It is an arithmetic number, because the mean of its divisors is an integer number (377053404).

Almost surely, 2^13968400061 is an apocalyptic number.

13968400061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13968400061 is a deficient number, since it is larger than the sum of its proper divisors (4130163331).

13968400061 is a wasteful number, since it uses less digits than its factorization.

13968400061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

Adding to 13968400061 its reverse (16000486931), we get a palindrome (29968886992).

The spelling of 13968400061 in words is "thirteen billion, nine hundred sixty-eight million, four hundred thousand, sixty-one".