9196540416 has 400 divisors, whose sum is σ = 31846890240. Its totient is φ = 2587852800.

The previous prime is 9196540411. The next prime is 9196540427. The reversal of 9196540416 is 6140456919.

It is a happy number.

9196540416 is a `hidden beast` number, since 9 + 1 + 96 + 540 + 4 + 16 = 666.

It is a super-3 number, since 3×9196540416³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9196540411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22933816 + ... + 22934216.

Almost surely, 2^9196540416 is an apocalyptic number.

9196540416 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 9196540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923445120).

9196540416 is an abundant number, since it is smaller than the sum of its proper divisors (22650349824).

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

9196540416 is an equidigital number, since it uses as much as digits as its factorization.

9196540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9196540416 is about 95898.5944422545. The cubic root of 9196540416 is about 2095.1164234129.

The spelling of 9196540416 in words is "nine billion, one hundred ninety-six million, five hundred forty thousand, four hundred sixteen".