13830245304480 has 1152 divisors, whose sum is σ = 55014438076416. Its totient is φ = 3126797107200.

The previous prime is 13830245304479. The next prime is 13830245304481. The reversal of 13830245304480 is 8440354203831.

13830245304480 is a `hidden beast` number, since 1 + 3 + 8 + 30 + 2 + 4 + 530 + 4 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13830245304479) and next prime (13830245304481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13830245304481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22784588337 + ... + 22784588943.

It is an arithmetic number, because the mean of its divisors is an integer number (47755588608).

Almost surely, 2^{13830245304480} is an apocalyptic number.

13830245304480 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 13830245304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27507219038208).

13830245304480 is an abundant number, since it is smaller than the sum of its proper divisors (41184192771936).

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

13830245304480 is a wasteful number, since it uses less digits than its factorization.

13830245304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 13830245304480 in words is "thirteen trillion, eight hundred thirty billion, two hundred forty-five million, three hundred four thousand, four hundred eighty".