13761715968 has 1296 divisors, whose sum is σ = 58818928896. Its totient is φ = 3105423360.

The previous prime is 13761715967. The next prime is 13761715987. The reversal of 13761715968 is 86951716731.

13761715968 is a `hidden beast` number, since 1 + 3 + 7 + 617 + 15 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13761715963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 809512696 + ... + 809512712.

It is an arithmetic number, because the mean of its divisors is an integer number (45384976).

Almost surely, 2^13761715968 is an apocalyptic number.

13761715968 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 13761715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29409464448).

13761715968 is an abundant number, since it is smaller than the sum of its proper divisors (45057212928).

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

13761715968 is a wasteful number, since it uses less digits than its factorization.

13761715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 13761715968 in words is "thirteen billion, seven hundred sixty-one million, seven hundred fifteen thousand, nine hundred sixty-eight".