9396813888 has 1008 divisors, whose sum is σ = 37943942400. Its totient is φ = 2273080320.

The previous prime is 9396813863. The next prime is 9396813929. The reversal of 9396813888 is 8883186939.

9396813888 is a `hidden beast` number, since 93 + 96 + 81 + 388 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×9396813888² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159268003 + ... + 159268061.

It is an arithmetic number, because the mean of its divisors is an integer number (37642800).

Almost surely, 2^9396813888 is an apocalyptic number.

9396813888 is a gapful number since it is divisible by the number (98) 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 9396813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971971200).

9396813888 is an abundant number, since it is smaller than the sum of its proper divisors (28547128512).

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

9396813888 is a wasteful number, since it uses less digits than its factorization.

9396813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 9396813888 is about 96937.1646377178. The cubic root of 9396813888 is about 2110.2158227310.

The spelling of 9396813888 in words is "nine billion, three hundred ninety-six million, eight hundred thirteen thousand, eight hundred eighty-eight".