13621078016 has 288 divisors, whose sum is σ = 34939424520. Its totient is φ = 5260050432.

The previous prime is 13621077997. The next prime is 13621078039. The reversal of 13621078016 is 61087012631.

It can be written as a sum of positive squares in 4 ways, for example, as 13307929600 + 313148416 = 115360^2 + 17696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69142430 + ... + 69142626.

Almost surely, 2^13621078016 is an apocalyptic number.

13621078016 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 13621078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469712260).

13621078016 is an abundant number, since it is smaller than the sum of its proper divisors (21318346504).

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

13621078016 is a wasteful number, since it uses less digits than its factorization.

13621078016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 13621078016 in words is "thirteen billion, six hundred twenty-one million, seventy-eight thousand, sixteen".