13384952469504 has 1008 divisors, whose sum is σ = 50924510942760. Its totient is φ = 3476402012160.

The previous prime is 13384952469503. The next prime is 13384952469547. The reversal of 13384952469504 is 40596425948331.

It is a happy number.

13384952469504 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 49 + 5 + 24 + 69 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13384952469504² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384952469503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 804714372 + ... + 804731004.

Almost surely, 2^{13384952469504} is an apocalyptic number.

13384952469504 is a gapful number since it is divisible by the number (14) 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 13384952469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25462255471380).

13384952469504 is an abundant number, since it is smaller than the sum of its proper divisors (37539558473256).

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

13384952469504 is an equidigital number, since it uses as much as digits as its factorization.

13384952469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16698 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 13384952469504 in words is "thirteen trillion, three hundred eighty-four billion, nine hundred fifty-two million, four hundred sixty-nine thousand, five hundred four".