13778359848 has 320 divisors, whose sum is σ = 43798708800. Its totient is φ = 4009927680.

The previous prime is 13778359843. The next prime is 13778359873. The reversal of 13778359848 is 84895387731.

13778359848 is a `hidden beast` number, since 1 + 37 + 7 + 8 + 3 + 598 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13778359843) 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 79 ways as a sum of consecutive naturals, for example, 23472211 + ... + 23472797.

It is an arithmetic number, because the mean of its divisors is an integer number (136870965).

Almost surely, 2^13778359848 is an apocalyptic number.

13778359848 is a gapful number since it is divisible by the number (18) 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 13778359848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899354400).

13778359848 is an abundant number, since it is smaller than the sum of its proper divisors (30020348952).

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

13778359848 is a wasteful number, since it uses less digits than its factorization.

13778359848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 13778359848 in words is "thirteen billion, seven hundred seventy-eight million, three hundred fifty-nine thousand, eight hundred forty-eight".