13413302784 has 320 divisors, whose sum is σ = 45876230400. Its totient is φ = 3790209024.

The previous prime is 13413302761. The next prime is 13413302827. The reversal of 13413302784 is 48720331431.

13413302784 is a `hidden beast` number, since 1 + 341 + 3 + 302 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9385782 + ... + 9387210.

It is an arithmetic number, because the mean of its divisors is an integer number (143363220).

Almost surely, 2^13413302784 is an apocalyptic number.

13413302784 is a gapful number since it is divisible by the number (14) 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 13413302784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938115200).

13413302784 is an abundant number, since it is smaller than the sum of its proper divisors (32462927616).

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

13413302784 is an equidigital number, since it uses as much as digits as its factorization.

13413302784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13413302784 in words is "thirteen billion, four hundred thirteen million, three hundred two thousand, seven hundred eighty-four".