13746320016 has 80 divisors (see below), whose sum is σ = 41719621440. Its totient is φ = 3845122560.

The previous prime is 13746320009. The next prime is 13746320017. The reversal of 13746320016 is 61002364731.

It is a super-2 number, since 2×13746320016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13746320017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994471 + ... + 1008198.

It is an arithmetic number, because the mean of its divisors is an integer number (521495268).

Almost surely, 2^13746320016 is an apocalyptic number.

13746320016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13746320016 is an abundant number, since it is smaller than the sum of its proper divisors (27973301424).

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

13746320016 is a wasteful number, since it uses less digits than its factorization.

13746320016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002704 (or 2002698 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 13746320016 its reverse (61002364731), we get a palindrome (74748684747).

The spelling of 13746320016 in words is "thirteen billion, seven hundred forty-six million, three hundred twenty thousand, sixteen".