13437583834650 has 96 divisors (see below), whose sum is σ = 33798268915200. Its totient is φ = 3532499947200.

The previous prime is 13437583834627. The next prime is 13437583834663. The reversal of 13437583834650 is 5643838573431.

13437583834650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13437583834650³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104934361 + ... + 105062339.

It is an arithmetic number, because the mean of its divisors is an integer number (352065301200).

Almost surely, 2^{13437583834650} is an apocalyptic number.

13437583834650 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 13437583834650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899134457600).

13437583834650 is an abundant number, since it is smaller than the sum of its proper divisors (20360685080550).

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

13437583834650 is a wasteful number, since it uses less digits than its factorization.

13437583834650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137924 (or 137919 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 13437583834650 in words is "thirteen trillion, four hundred thirty-seven billion, five hundred eighty-three million, eight hundred thirty-four thousand, six hundred fifty".