13845076423200 has 1296 divisors, whose sum is σ = 57022552510560. Its totient is φ = 3149610393600.

The previous prime is 13845076423177. The next prime is 13845076423229. The reversal of 13845076423200 is 232467054831.

13845076423200 is a `hidden beast` number, since 1 + 3 + 84 + 507 + 6 + 42 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×13845076423200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1771145692 + ... + 1771153508.

It is an arithmetic number, because the mean of its divisors is an integer number (43998883110).

Almost surely, 2^{13845076423200} is an apocalyptic number.

13845076423200 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 13845076423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28511276255280).

13845076423200 is an abundant number, since it is smaller than the sum of its proper divisors (43177476087360).

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

13845076423200 is a wasteful number, since it uses less digits than its factorization.

13845076423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13845076423200 in words is "thirteen trillion, eight hundred forty-five billion, seventy-six million, four hundred twenty-three thousand, two hundred".