9045098496 has 480 divisors, whose sum is σ = 32211271680. Its totient is φ = 2452488192.

The previous prime is 9045098467. The next prime is 9045098497. The reversal of 9045098496 is 6948905409.

9045098496 is a `hidden beast` number, since 90 + 4 + 509 + 8 + 49 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9045098497) 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, 71221185 + ... + 71221311.

It is an arithmetic number, because the mean of its divisors is an integer number (67106816).

Almost surely, 2^9045098496 is an apocalyptic number.

9045098496 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 9045098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16105635840).

9045098496 is an abundant number, since it is smaller than the sum of its proper divisors (23166173184).

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

9045098496 is a wasteful number, since it uses less digits than its factorization.

9045098496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9045098496 is about 95105.7227300229. The cubic root of 9045098496 is about 2083.5524303392.

The spelling of 9045098496 in words is "nine billion, forty-five million, ninety-eight thousand, four hundred ninety-six".