13718428416 has 432 divisors, whose sum is σ = 50278475520. Its totient is φ = 3493601280.

The previous prime is 13718428411. The next prime is 13718428489. The reversal of 13718428416 is 61482481731.

13718428416 is a `hidden beast` number, since 1 + 37 + 184 + 28 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13718428411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9401895 + ... + 9403353.

It is an arithmetic number, because the mean of its divisors is an integer number (116385360).

Almost surely, 2^13718428416 is an apocalyptic number.

13718428416 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 13718428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25139237760).

13718428416 is an abundant number, since it is smaller than the sum of its proper divisors (36560047104).

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

13718428416 is a wasteful number, since it uses less digits than its factorization.

13718428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1535 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

It can be divided in two parts, 137184 and 28416, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 13718428416 in words is "thirteen billion, seven hundred eighteen million, four hundred twenty-eight thousand, four hundred sixteen".