9386919460864 has 261 divisors, whose sum is σ = 21920976167041. Its totient is φ = 4015794421760.

The previous prime is 9386919460861. The next prime is 9386919460883. The reversal of 9386919460864 is 4680649196839.

The square root of 9386919460864 is 3063808.

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

It can be written as a sum of positive squares in only one way, i.e., 7308155289600 + 2078764171264 = 2703360^2 + 1441792^2 .

It is a super-2 number, since 2×9386919460864² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9386919460861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 552171732984 + ... + 552171733000.

Almost surely, 2^{9386919460864} is an apocalyptic number.

9386919460864 is a droll number since its even prime factors and its odd prime factors have the same sum.

9386919460864 is the 3063808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9386919460864

9386919460864 is an abundant number, since it is smaller than the sum of its proper divisors (12534056706177).

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

9386919460864 is an frugal number, since it uses more digits than its factorization.

9386919460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 73.

The spelling of 9386919460864 in words is "nine trillion, three hundred eighty-six billion, nine hundred nineteen million, four hundred sixty thousand, eight hundred sixty-four".