13249716480000 has 3840 divisors, whose sum is σ = 66023025868800. Its totient is φ = 2534768640000.

The previous prime is 13249716479981. The next prime is 13249716480089. The reversal of 13249716480000 is 8461794231.

13249716480000 is a `hidden beast` number, since 1 + 324 + 97 + 164 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×13249716480000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34594559809 + ... + 34594560191.

It is an arithmetic number, because the mean of its divisors is an integer number (17193496320).

Almost surely, 2^{13249716480000} is an apocalyptic number.

13249716480000 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 13249716480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011512934400).

13249716480000 is an abundant number, since it is smaller than the sum of its proper divisors (52773309388800).

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

13249716480000 is a wasteful number, since it uses less digits than its factorization.

13249716480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13249716480000 in words is "thirteen trillion, two hundred forty-nine billion, seven hundred sixteen million, four hundred eighty thousand".