16649533587456 has 2295 divisors, whose sum is σ = 66488052332163. Its totient is φ = 4136530083840.

The previous prime is 16649533587451. The next prime is 16649533587481. The reversal of 16649533587456 is 65478533594661.

The square root of 16649533587456 is 4080384.

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

16649533587456 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 9 + 5 + 33 + 587 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×16649533587456² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

Its product of digits (1959552000) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (16649533587451) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 723892764661 + ... + 723892764683.

Almost surely, 2^{16649533587456} is an apocalyptic number.

16649533587456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16649533587456 is the 4080384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16649533587456

16649533587456 is an abundant number, since it is smaller than the sum of its proper divisors (49838518744707).

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

16649533587456 is an frugal number, since it uses more digits than its factorization.

16649533587456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 46 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 16649533587456 in words is "sixteen trillion, six hundred forty-nine billion, five hundred thirty-three million, five hundred eighty-seven thousand, four hundred fifty-six".