13694046912 has 672 divisors, whose sum is σ = 51941041152. Its totient is φ = 3350274048.

The previous prime is 13694046893. The next prime is 13694046913. The reversal of 13694046912 is 21964049631.

13694046912 is a `hidden beast` number, since 136 + 9 + 40 + 469 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (13694046913) 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 95 ways as a sum of consecutive naturals, for example, 44605863 + ... + 44606169.

It is an arithmetic number, because the mean of its divisors is an integer number (77293216).

Almost surely, 2^13694046912 is an apocalyptic number.

13694046912 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 13694046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970520576).

13694046912 is an abundant number, since it is smaller than the sum of its proper divisors (38246994240).

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

13694046912 is a wasteful number, since it uses less digits than its factorization.

13694046912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13694046912 in words is "thirteen billion, six hundred ninety-four million, forty-six thousand, nine hundred twelve".