13345568000 has 288 divisors, whose sum is σ = 35039964960. Its totient is φ = 5057740800.

The previous prime is 13345567993. The next prime is 13345568003. The reversal of 13345568000 is 86554331.

It can be written as a sum of positive squares in 16 ways, for example, as 4641424384 + 8704143616 = 68128^2 + 93296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345568003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67743902 + ... + 67744098.

It is an arithmetic number, because the mean of its divisors is an integer number (121666545).

Almost surely, 2^13345568000 is an apocalyptic number.

13345568000 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 13345568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519982480).

13345568000 is an abundant number, since it is smaller than the sum of its proper divisors (21694396960).

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

13345568000 is an equidigital number, since it uses as much as digits as its factorization.

13345568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 13345568000 in words is "thirteen billion, three hundred forty-five million, five hundred sixty-eight thousand".