13434098496000 has 2560 divisors, whose sum is σ = 60124791767040. Its totient is φ = 2579890176000.

The previous prime is 13434098495999. The next prime is 13434098496019. The reversal of 13434098496000 is 69489043431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9207743271 + ... + 9207744729.

It is an arithmetic number, because the mean of its divisors is an integer number (23486246784).

Almost surely, 2^{13434098496000} is an apocalyptic number.

13434098496000 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 13434098496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30062395883520).

13434098496000 is an abundant number, since it is smaller than the sum of its proper divisors (46690693271040).

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

13434098496000 is a wasteful number, since it uses less digits than its factorization.

13434098496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 13434098496000 in words is "thirteen trillion, four hundred thirty-four billion, ninety-eight million, four hundred ninety-six thousand".