13779472896 has 320 divisors, whose sum is σ = 47014133760. Its totient is φ = 3903344640.

The previous prime is 13779472843. The next prime is 13779472909. The reversal of 13779472896 is 69827497731.

13779472896 is a `hidden beast` number, since 1 + 3 + 7 + 79 + 472 + 8 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 12676065 + ... + 12677151.

It is an arithmetic number, because the mean of its divisors is an integer number (146919168).

Almost surely, 2^13779472896 is an apocalyptic number.

13779472896 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 13779472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23507066880).

13779472896 is an abundant number, since it is smaller than the sum of its proper divisors (33234660864).

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

13779472896 is a wasteful number, since it uses less digits than its factorization.

13779472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1230 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 13779472896 in words is "thirteen billion, seven hundred seventy-nine million, four hundred seventy-two thousand, eight hundred ninety-six".