13623469809408 has 288 divisors, whose sum is σ = 42844819691520. Its totient is φ = 4255193088000.

The previous prime is 13623469809407. The next prime is 13623469809413. The reversal of 13623469809408 is 80490896432631.

13623469809408 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 3 + 469 + 80 + 94 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13623469809407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26418033 + ... + 26928783.

It is an arithmetic number, because the mean of its divisors is an integer number (148766735040).

Almost surely, 2^{13623469809408} is an apocalyptic number.

13623469809408 is a gapful number since it is divisible by the number (18) 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 13623469809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422409845760).

13623469809408 is an abundant number, since it is smaller than the sum of its proper divisors (29221349882112).

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

13623469809408 is a wasteful number, since it uses less digits than its factorization.

13623469809408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511020 (or 511000 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 13623469809408 in words is "thirteen trillion, six hundred twenty-three billion, four hundred sixty-nine million, eight hundred nine thousand, four hundred eight".