13834437120000 has 2080 divisors, whose sum is σ = 59423065532160. Its totient is φ = 3153199104000.

The previous prime is 13834437119977. The next prime is 13834437120011. The reversal of 13834437120000 is 2173443831.

13834437120000 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 443 + 7 + 1 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39191039824 + ... + 39191040176.

Almost surely, 2^{13834437120000} is an apocalyptic number.

13834437120000 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 13834437120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29711532766080).

13834437120000 is an abundant number, since it is smaller than the sum of its proper divisors (45588628412160).

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

13834437120000 is an frugal number, since it uses more digits than its factorization.

13834437120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13834437120000 in words is "thirteen trillion, eight hundred thirty-four billion, four hundred thirty-seven million, one hundred twenty thousand".