16032688679056 has 225 divisors, whose sum is σ = 37501997437203. Its totient is φ = 6639411925440.

The previous prime is 16032688678961. The next prime is 16032688679057. The reversal of 16032688679056 is 65097688623061.

The square root of 16032688679056 is 4004084.

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

It is a super-2 number, since 2×16032688679056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16032688678982 and 16032688679000.

It is not an unprimeable number, because it can be changed into a prime (16032688679057) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24328814055 + ... + 24328814713.

Almost surely, 2^{16032688679056} is an apocalyptic number.

16032688679056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16032688679056 is the 4004084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16032688679056

16032688679056 is an abundant number, since it is smaller than the sum of its proper divisors (21469308758147).

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

16032688679056 is an frugal number, since it uses more digits than its factorization.

16032688679056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

It can be divided in two parts, 16032688 and 679056, that added together give a square (16711744 = 4088²).

The spelling of 16032688679056 in words is "sixteen trillion, thirty-two billion, six hundred eighty-eight million, six hundred seventy-nine thousand, fifty-six".