13500334848 has 576 divisors, whose sum is σ = 51129695232. Its totient is φ = 3043491840.

The previous prime is 13500334811. The next prime is 13500334873. The reversal of 13500334848 is 84843300531.

It is a super-4 number, since 4×13500334848⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 13068540 + ... + 13069572.

It is an arithmetic number, because the mean of its divisors is an integer number (88766832).

Almost surely, 2^13500334848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25564847616).

13500334848 is an abundant number, since it is smaller than the sum of its proper divisors (37629360384).

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

13500334848 is a wasteful number, since it uses less digits than its factorization.

13500334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 13500334848 in words is "thirteen billion, five hundred million, three hundred thirty-four thousand, eight hundred forty-eight".