9036458496 has 480 divisors, whose sum is σ = 30111489408. Its totient is φ = 2687385600.

The previous prime is 9036458489. The next prime is 9036458513. The reversal of 9036458496 is 6948546309.

9036458496 is a `hidden beast` number, since 90 + 3 + 64 + 5 + 8 + 496 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59844021 + ... + 59844171.

Almost surely, 2^9036458496 is an apocalyptic number.

9036458496 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 9036458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055744704).

9036458496 is an abundant number, since it is smaller than the sum of its proper divisors (21075030912).

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

9036458496 is a wasteful number, since it uses less digits than its factorization.

9036458496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 9036458496 is about 95060.2887435127. The cubic root of 9036458496 is about 2082.8888065385. Note that the first 4 decimals are identical.

The spelling of 9036458496 in words is "nine billion, thirty-six million, four hundred fifty-eight thousand, four hundred ninety-six".