13776060312 has 192 divisors, whose sum is σ = 46450713600. Its totient is φ = 3764819520.

The previous prime is 13776060307. The next prime is 13776060323. The reversal of 13776060312 is 21306067731.

13776060312 is a `hidden beast` number, since 1 + 37 + 7 + 6 + 0 + 603 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215137 + ... + 271727.

It is an arithmetic number, because the mean of its divisors is an integer number (241930800).

Almost surely, 2^13776060312 is an apocalyptic number.

13776060312 is a gapful number since it is divisible by the number (12) 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 13776060312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23225356800).

13776060312 is an abundant number, since it is smaller than the sum of its proper divisors (32674653288).

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

13776060312 is a wasteful number, since it uses less digits than its factorization.

13776060312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56643 (or 56626 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13776060312 in words is "thirteen billion, seven hundred seventy-six million, sixty thousand, three hundred twelve".