13613352480 has 1440 divisors, whose sum is σ = 64384101936. Its totient is φ = 2675441664.

The previous prime is 13613352479. The next prime is 13613352523. The reversal of 13613352480 is 8425331631.

13613352480 is a `hidden beast` number, since 1 + 3 + 613 + 35 + 2 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4872598416 + 8740754064 = 69804^2 + 93492^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140343792 + ... + 140343888.

Almost surely, 2^13613352480 is an apocalyptic number.

13613352480 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 13613352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32192050968).

13613352480 is an abundant number, since it is smaller than the sum of its proper divisors (50770749456).

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

13613352480 is a wasteful number, since it uses less digits than its factorization.

13613352480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13613352480 in words is "thirteen billion, six hundred thirteen million, three hundred fifty-two thousand, four hundred eighty".