13616452823040 has 1344 divisors, whose sum is σ = 53151650632080. Its totient is φ = 3332835901440.

The previous prime is 13616452822993. The next prime is 13616452823087. The reversal of 13616452823040 is 4032825461631.

13616452823040 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 64 + 5 + 282 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13616452822993) and next prime (13616452823087).

It can be written as a sum of positive squares in 8 ways, for example, as 8282791904256 + 5333660918784 = 2877984^2 + 2309472^2 .

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 5203075812 + ... + 5203078428.

Almost surely, 2^{13616452823040} is an apocalyptic number.

13616452823040 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 13616452823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26575825316040).

13616452823040 is an abundant number, since it is smaller than the sum of its proper divisors (39535197809040).

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

13616452823040 is an equidigital number, since it uses as much as digits as its factorization.

13616452823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13616452823040 in words is "thirteen trillion, six hundred sixteen billion, four hundred fifty-two million, eight hundred twenty-three thousand, forty".