16288682533776 has 225 divisors, whose sum is σ = 47847830168523. Its totient is φ = 5349697980480.

The previous prime is 16288682533759. The next prime is 16288682533817. The reversal of 16288682533776 is 67733528688261.

The square root of 16288682533776 is 4035924.

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

16288682533776 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 8 + 6 + 82 + 533 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×16288682533776² (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10315820955 + ... + 10315822533.

Almost surely, 2^{16288682533776} is an apocalyptic number.

16288682533776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16288682533776 is the 4035924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16288682533776

16288682533776 is an abundant number, since it is smaller than the sum of its proper divisors (31559147634747).

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

16288682533776 is an frugal number, since it uses more digits than its factorization.

16288682533776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 1655 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 16288682533776 in words is "sixteen trillion, two hundred eighty-eight billion, six hundred eighty-two million, five hundred thirty-three thousand, seven hundred seventy-six".