13146872832000 has 1120 divisors, whose sum is σ = 50607408893184. Its totient is φ = 3392077824000.

The previous prime is 13146872831977. The next prime is 13146872832013. The reversal of 13146872832000 is 23827864131.

13146872832000 is a `hidden beast` number, since 1 + 314 + 6 + 8 + 7 + 2 + 8 + 320 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2571261444 + ... + 2571266556.

Almost surely, 2^{13146872832000} is an apocalyptic number.

13146872832000 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 13146872832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25303704446592).

13146872832000 is an abundant number, since it is smaller than the sum of its proper divisors (37460536061184).

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

13146872832000 is an frugal number, since it uses more digits than its factorization.

13146872832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13146872832000 in words is "thirteen trillion, one hundred forty-six billion, eight hundred seventy-two million, eight hundred thirty-two thousand".