13459522000 has 80 divisors (see below), whose sum is σ = 32725811664. Its totient is φ = 5353920000.

The previous prime is 13459521991. The next prime is 13459522003. The reversal of 13459522000 is 22595431.

It can be written as a sum of positive squares in 8 ways, for example, as 10062497344 + 3397024656 = 100312^2 + 58284^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13459522003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343410 + ... + 380590.

Almost surely, 2^13459522000 is an apocalyptic number.

13459522000 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 13459522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362905832).

13459522000 is an abundant number, since it is smaller than the sum of its proper divisors (19266289664).

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

13459522000 is a wasteful number, since it uses less digits than its factorization.

13459522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37385 (or 37369 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 13459522000 in words is "thirteen billion, four hundred fifty-nine million, five hundred twenty-two thousand".