13377848016000 has 3072 divisors, whose sum is σ = 54301036608000. Its totient is φ = 2898395136000.

The previous prime is 13377848015989. The next prime is 13377848016061. The reversal of 13377848016000 is 61084877331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 183258191964 + ... + 183258192036.

Almost surely, 2^{13377848016000} is an apocalyptic number.

13377848016000 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 13377848016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27150518304000).

13377848016000 is an abundant number, since it is smaller than the sum of its proper divisors (40923188592000).

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

13377848016000 is a wasteful number, since it uses less digits than its factorization.

13377848016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 13377848016000 in words is "thirteen trillion, three hundred seventy-seven billion, eight hundred forty-eight million, sixteen thousand".