13208458974480 has 1280 divisors, whose sum is σ = 57145656729600. Its totient is φ = 2724212736000.

The previous prime is 13208458974461. The next prime is 13208458974497. The reversal of 13208458974480 is 8447985480231.

It is a happy number.

13208458974480 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 8 + 4 + 5 + 89 + 74 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19114990935 + ... + 19114991625.

It is an arithmetic number, because the mean of its divisors is an integer number (44645044320).

Almost surely, 2^{13208458974480} is an apocalyptic number.

13208458974480 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 13208458974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28572828364800).

13208458974480 is an abundant number, since it is smaller than the sum of its proper divisors (43937197755120).

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

13208458974480 is a wasteful number, since it uses less digits than its factorization.

13208458974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 13208458974480 in words is "thirteen trillion, two hundred eight billion, four hundred fifty-eight million, nine hundred seventy-four thousand, four hundred eighty".