13978804224 has 448 divisors, whose sum is σ = 47560504320. Its totient is φ = 3546808320.

The previous prime is 13978804187. The next prime is 13978804267. The reversal of 13978804224 is 42240887931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157065172 + ... + 157065260.

It is an arithmetic number, because the mean of its divisors is an integer number (106161840).

Almost surely, 2^13978804224 is an apocalyptic number.

13978804224 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 13978804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780252160).

13978804224 is an abundant number, since it is smaller than the sum of its proper divisors (33581700096).

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

13978804224 is an equidigital number, since it uses as much as digits as its factorization.

13978804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13978804224 in words is "thirteen billion, nine hundred seventy-eight million, eight hundred four thousand, two hundred twenty-four".