13792048896 has 72 divisors (see below), whose sum is σ = 36987439104. Its totient is φ = 4562222080.

The previous prime is 13792048891. The next prime is 13792048901. The reversal of 13792048896 is 69884029731.

It is an interprime number because it is at equal distance from previous prime (13792048891) and next prime (13792048901).

It is a super-2 number, since 2×13792048896² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13792048891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32065 + ... + 169151.

It is an arithmetic number, because the mean of its divisors is an integer number (513714432).

Almost surely, 2^13792048896 is an apocalyptic number.

13792048896 is a gapful number since it is divisible by the number (16) 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 13792048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493719552).

13792048896 is an abundant number, since it is smaller than the sum of its proper divisors (23195390208).

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

13792048896 is a wasteful number, since it uses less digits than its factorization.

13792048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137237 (or 137223 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 13792048896 in words is "thirteen billion, seven hundred ninety-two million, forty-eight thousand, eight hundred ninety-six".