13484648534400 has 2304 divisors, whose sum is σ = 53419647590400. Its totient is φ = 3353857228800.

The previous prime is 13484648534389. The next prime is 13484648534411. The reversal of 13484648534400 is 443584648431.

13484648534400 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 4 + 64 + 8 + 534 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13484648534389) and next prime (13484648534411).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 139016995152 + ... + 139016995248.

Almost surely, 2^{13484648534400} is an apocalyptic number.

13484648534400 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 13484648534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26709823795200).

13484648534400 is an abundant number, since it is smaller than the sum of its proper divisors (39934999056000).

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

13484648534400 is an equidigital number, since it uses as much as digits as its factorization.

13484648534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 13484648534400 in words is "thirteen trillion, four hundred eighty-four billion, six hundred forty-eight million, five hundred thirty-four thousand, four hundred".