16613417313936 has 675 divisors, whose sum is σ = 52138876229913. Its totient is φ = 5106357676800.

The previous prime is 16613417313919. The next prime is 16613417313973. The reversal of 16613417313936 is 63931371431661.

The square root of 16613417313936 is 4075956.

It is a perfect power (a square), and thus also a powerful number.

16613417313936 is a `hidden beast` number, since 1 + 6 + 61 + 3 + 417 + 3 + 139 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15961974619536 + 651442694400 = 3995244^2 + 807120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4408992) is a multiple of the sum of its prime factors (378).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 164489280286 + ... + 164489280386.

Almost surely, 2^{16613417313936} is an apocalyptic number.

16613417313936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16613417313936 is the 4075956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16613417313936

16613417313936 is an abundant number, since it is smaller than the sum of its proper divisors (35525458915977).

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

16613417313936 is an equidigital number, since it uses as much as digits as its factorization.

16613417313936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 184 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 16613417313936 in words is "sixteen trillion, six hundred thirteen billion, four hundred seventeen million, three hundred thirteen thousand, nine hundred thirty-six".