13892747904 has 192 divisors, whose sum is σ = 45859020480. Its totient is φ = 3954585600.

The previous prime is 13892747893. The next prime is 13892747969. The reversal of 13892747904 is 40974729831.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2262919 + ... + 2269049.

It is an arithmetic number, because the mean of its divisors is an integer number (238849065).

Almost surely, 2^13892747904 is an apocalyptic number.

13892747904 is a gapful number since it is divisible by the number (14) 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 13892747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929510240).

13892747904 is an abundant number, since it is smaller than the sum of its proper divisors (31966272576).

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

13892747904 is a wasteful number, since it uses less digits than its factorization.

13892747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13892747904 in words is "thirteen billion, eight hundred ninety-two million, seven hundred forty-seven thousand, nine hundred four".