13768587515214 has 48 divisors (see below), whose sum is σ = 34264970188800. Its totient is φ = 3914113888080.

The previous prime is 13768587515213. The next prime is 13768587515261. The reversal of 13768587515214 is 41251578586731.

13768587515214 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 8 + 58 + 7 + 51 + 521 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768587515213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274533982 + ... + 274584129.

It is an arithmetic number, because the mean of its divisors is an integer number (713853545600).

Almost surely, 2^{13768587515214} is an apocalyptic number.

13768587515214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13768587515214 is an abundant number, since it is smaller than the sum of its proper divisors (20496382673586).

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

13768587515214 is a wasteful number, since it uses less digits than its factorization.

13768587515214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549118325 (or 549118322 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 63.

The spelling of 13768587515214 in words is "thirteen trillion, seven hundred sixty-eight billion, five hundred eighty-seven million, five hundred fifteen thousand, two hundred fourteen".