9765315456 has 128 divisors (see below), whose sum is σ = 28836003840. Its totient is φ = 2907740160.

The previous prime is 9765315433. The next prime is 9765315467. The reversal of 9765315456 is 6545135679.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9765315456² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9765315399 and 9765315408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123201 + ... + 186303.

It is an arithmetic number, because the mean of its divisors is an integer number (225281280).

Almost surely, 2^9765315456 is an apocalyptic number.

9765315456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9765315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418001920).

9765315456 is an abundant number, since it is smaller than the sum of its proper divisors (19070688384).

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

9765315456 is a wasteful number, since it uses less digits than its factorization.

9765315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63164 (or 63152 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 51.

The square root of 9765315456 is about 98819.6106853291. The cubic root of 9765315456 is about 2137.4473490947.

It can be divided in two parts, 9765 and 315456, that added together give a triangular number (325221 = T₈₀₆).

The spelling of 9765315456 in words is "nine billion, seven hundred sixty-five million, three hundred fifteen thousand, four hundred fifty-six".