9393745457664 has 200 divisors, whose sum is σ = 28050123493788. Its totient is φ = 3129878568960.

The previous prime is 9393745457659. The next prime is 9393745457693. The reversal of 9393745457664 is 4667545473939.

9393745457664 is a `hidden beast` number, since 9 + 3 + 9 + 3 + 7 + 4 + 545 + 76 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7609918097664 + 1783827360000 = 2758608^2 + 1335600^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9393745457592 and 9393745457601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97037574 + ... + 97134330.

Almost surely, 2^{9393745457664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9393745457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025061746894).

9393745457664 is an abundant number, since it is smaller than the sum of its proper divisors (18656378036124).

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

9393745457664 is an equidigital number, since it uses as much as digits as its factorization.

9393745457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99128 (or 99103 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 9393745457664 in words is "nine trillion, three hundred ninety-three billion, seven hundred forty-five million, four hundred fifty-seven thousand, six hundred sixty-four".