13834671531840 has 224 divisors, whose sum is σ = 48809820510720. Its totient is φ = 3688930252800.

The previous prime is 13834671531829. The next prime is 13834671531871. The reversal of 13834671531840 is 4813517643831.

13834671531840 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 4 + 67 + 1 + 531 + 8 + 40 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 111489030 + ... + 111613050.

Almost surely, 2^{13834671531840} is an apocalyptic number.

13834671531840 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 13834671531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24404910255360).

13834671531840 is an abundant number, since it is smaller than the sum of its proper divisors (34975148978880).

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

13834671531840 is a wasteful number, since it uses less digits than its factorization.

13834671531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136958 (or 136942 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13834671531840 in words is "thirteen trillion, eight hundred thirty-four billion, six hundred seventy-one million, five hundred thirty-one thousand, eight hundred forty".