13885075516332 has 96 divisors (see below), whose sum is σ = 34765103923200. Its totient is φ = 4300369012800.

The previous prime is 13885075516307. The next prime is 13885075516349. The reversal of 13885075516332 is 23361557058831.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846519 + ... + 5337297.

It is an arithmetic number, because the mean of its divisors is an integer number (362136499200).

Almost surely, 2^{13885075516332} is an apocalyptic number.

13885075516332 is a gapful number since it is divisible by the number (12) 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 13885075516332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382551961600).

13885075516332 is an abundant number, since it is smaller than the sum of its proper divisors (20880028406868).

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

13885075516332 is a wasteful number, since it uses less digits than its factorization.

13885075516332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491067 (or 4491065 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 13885075516332 in words is "thirteen trillion, eight hundred eighty-five billion, seventy-five million, five hundred sixteen thousand, three hundred thirty-two".