13819228473600 has 864 divisors, whose sum is σ = 58190050598400. Its totient is φ = 3173785804800.

The previous prime is 13819228473563. The next prime is 13819228473751. The reversal of 13819228473600 is 637482291831.

It is a happy number.

13819228473600 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 9 + 2 + 28 + 4 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35923879 + ... + 36306521.

It is an arithmetic number, because the mean of its divisors is an integer number (67349595600).

Almost surely, 2^{13819228473600} is an apocalyptic number.

13819228473600 is a gapful number since it is divisible by the number (10) 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 13819228473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29095025299200).

13819228473600 is an abundant number, since it is smaller than the sum of its proper divisors (44370822124800).

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

13819228473600 is a wasteful number, since it uses less digits than its factorization.

13819228473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382708 (or 382683 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13819228473600 in words is "thirteen trillion, eight hundred nineteen billion, two hundred twenty-eight million, four hundred seventy-three thousand, six hundred".