9739492505856 has 243 divisors, whose sum is σ = 28475917765659. Its totient is φ = 3201507818496.

The previous prime is 9739492505839. The next prime is 9739492505857. The reversal of 9739492505856 is 6585052949379.

It is a happy number.

The square root of 9739492505856 is 3120816.

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

9739492505856 is a `hidden beast` number, since 9 + 7 + 3 + 9 + 492 + 50 + 5 + 85 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9739492505857) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 11834133861 + ... + 11834134683.

Almost surely, 2^{9739492505856} is an apocalyptic number.

9739492505856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9739492505856 is the 3120816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9739492505856

9739492505856 is an abundant number, since it is smaller than the sum of its proper divisors (18736425259803).

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

9739492505856 is an frugal number, since it uses more digits than its factorization.

9739492505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 9739492505856 in words is "nine trillion, seven hundred thirty-nine billion, four hundred ninety-two million, five hundred five thousand, eight hundred fifty-six".