9687133357056 has 495 divisors, whose sum is σ = 29492529743677. Its totient is φ = 3167194521600.

The previous prime is 9687133357043. The next prime is 9687133357087. The reversal of 9687133357056 is 6507533317869.

The square root of 9687133357056 is 3112416.

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

9687133357056 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 1 + 3 + 3 + 3 + 570 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9307283014656 + 379850342400 = 3050784^2 + 616320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9687133356984 and 9687133357002.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90533956555 + ... + 90533956661.

Almost surely, 2^{9687133357056} is an apocalyptic number.

9687133357056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9687133357056 is the 3112416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9687133357056

9687133357056 is an abundant number, since it is smaller than the sum of its proper divisors (19805396386621).

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

9687133357056 is an equidigital number, since it uses as much as digits as its factorization.

9687133357056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 9687133357056 in words is "nine trillion, six hundred eighty-seven billion, one hundred thirty-three million, three hundred fifty-seven thousand, fifty-six".