13734563850 has 384 divisors, whose sum is σ = 46711296000. Its totient is φ = 2897959680.

The previous prime is 13734563849. The next prime is 13734563893. The reversal of 13734563850 is 5836543731.

13734563850 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 4 + 5 + 638 + 5 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13734563796 and 13734563805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6302061 + ... + 6304239.

It is an arithmetic number, because the mean of its divisors is an integer number (121644000).

Almost surely, 2^13734563850 is an apocalyptic number.

13734563850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13734563850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23355648000).

13734563850 is an abundant number, since it is smaller than the sum of its proper divisors (32976732150).

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

13734563850 is a wasteful number, since it uses less digits than its factorization.

13734563850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13734563850 in words is "thirteen billion, seven hundred thirty-four million, five hundred sixty-three thousand, eight hundred fifty".