13065450464000 has 288 divisors, whose sum is σ = 36651952576512. Its totient is φ = 4597808640000.

The previous prime is 13065450463957. The next prime is 13065450464029. The reversal of 13065450464000 is 46405456031.

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, 10313327 + ... + 11510673.

It is an arithmetic number, because the mean of its divisors is an integer number (127263724224).

Almost surely, 2^{13065450464000} is an apocalyptic number.

13065450464000 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 13065450464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18325976288256).

13065450464000 is an abundant number, since it is smaller than the sum of its proper divisors (23586502112512).

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

13065450464000 is a wasteful number, since it uses less digits than its factorization.

13065450464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197420 (or 1197396 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 13065450464000 in words is "thirteen trillion, sixty-five billion, four hundred fifty million, four hundred sixty-four thousand".