13145416320 has 256 divisors, whose sum is σ = 43993497600. Its totient is φ = 3332296704.

The previous prime is 13145416309. The next prime is 13145416327. The reversal of 13145416320 is 2361454131.

It is a super-2 number, since 2×13145416320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13145416327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7903809 + ... + 7905471.

It is an arithmetic number, because the mean of its divisors is an integer number (171849600).

Almost surely, 2^13145416320 is an apocalyptic number.

13145416320 is a gapful number since it is divisible by the number (10) 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 13145416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21996748800).

13145416320 is an abundant number, since it is smaller than the sum of its proper divisors (30848081280).

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

13145416320 is a wasteful number, since it uses less digits than its factorization.

13145416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13145416320 in words is "thirteen billion, one hundred forty-five million, four hundred sixteen thousand, three hundred twenty".