13364533008000 has 512 divisors, whose sum is σ = 50814017280000. Its totient is φ = 3448908288000.

The previous prime is 13364533007999. The next prime is 13364533008017. The reversal of 13364533008000 is 80033546331.

13364533008000 is a `hidden beast` number, since 1 + 3 + 3 + 645 + 3 + 3 + 0 + 0 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×13364533008000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 12893026 + ... + 13890974.

It is an arithmetic number, because the mean of its divisors is an integer number (99246127500).

Almost surely, 2^{13364533008000} is an apocalyptic number.

13364533008000 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 13364533008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25407008640000).

13364533008000 is an abundant number, since it is smaller than the sum of its proper divisors (37449484272000).

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

13364533008000 is an equidigital number, since it uses as much as digits as its factorization.

13364533008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998018 (or 997990 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13364533008000 in words is "thirteen trillion, three hundred sixty-four billion, five hundred thirty-three million, eight thousand".