16607548455696 has 675 divisors, whose sum is σ = 54370723345477. Its totient is φ = 4890283200000.

The previous prime is 16607548455689. The next prime is 16607548455761. The reversal of 16607548455696 is 69655484570661.

It is a happy number.

The square root of 16607548455696 is 4075236.

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

16607548455696 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 7 + 5 + 484 + 5 + 56 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 800244750096 + 15807303705600 = 894564^2 + 3975840^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 66165531571 + ... + 66165531821.

Almost surely, 2^{16607548455696} is an apocalyptic number.

16607548455696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16607548455696 is the 4075236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16607548455696

16607548455696 is an abundant number, since it is smaller than the sum of its proper divisors (37763174889781).

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

16607548455696 is an equidigital number, since it uses as much as digits as its factorization.

16607548455696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 16607548455696 in words is "sixteen trillion, six hundred seven billion, five hundred forty-eight million, four hundred fifty-five thousand, six hundred ninety-six".