9214407936 has 288 divisors, whose sum is σ = 28697760000. Its totient is φ = 2910707712.

The previous prime is 9214407931. The next prime is 9214407971. The reversal of 9214407936 is 6397044129.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9214407936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9214407891 and 9214407900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9214407931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23687230 + ... + 23687618.

It is an arithmetic number, because the mean of its divisors is an integer number (99645000).

Almost surely, 2^9214407936 is an apocalyptic number.

9214407936 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 9214407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880000).

9214407936 is an abundant number, since it is smaller than the sum of its proper divisors (19483352064).

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

9214407936 is a wasteful number, since it uses less digits than its factorization.

9214407936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9214407936 is about 95991.7076418583. The cubic root of 9214407936 is about 2096.4723795943.

The spelling of 9214407936 in words is "nine billion, two hundred fourteen million, four hundred seven thousand, nine hundred thirty-six".