13755336816 has 80 divisors (see below), whose sum is σ = 38479794080. Its totient is φ = 4208993280.

The previous prime is 13755336809. The next prime is 13755336823. The reversal of 13755336816 is 61863355731.

It is an interprime number because it is at equal distance from previous prime (13755336809) and next prime (13755336823).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52050 + ... + 173838.

It is an arithmetic number, because the mean of its divisors is an integer number (480997426).

Almost surely, 2^13755336816 is an apocalyptic number.

13755336816 is a gapful number since it is divisible by the number (16) 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 13755336816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19239897040).

13755336816 is an abundant number, since it is smaller than the sum of its proper divisors (24724457264).

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

13755336816 is a wasteful number, since it uses less digits than its factorization.

13755336816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121994 (or 121988 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The spelling of 13755336816 in words is "thirteen billion, seven hundred fifty-five million, three hundred thirty-six thousand, eight hundred sixteen".