906045074496 has 189 divisors, whose sum is σ = 2759949394111. Its totient is φ = 284127596544.

The previous prime is 906045074491. The next prime is 906045074521. The reversal of 906045074496 is 694470540609.

It is a happy number.

The square root of 906045074496 is 951864.

It is a perfect power (a square), and thus also a powerful number.

906045074496 is a `hidden beast` number, since 9 + 0 + 6 + 0 + 4 + 507 + 44 + 96 = 666.

906045074496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16418834496 + 889626240000 = 128136^2 + 943200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906045074491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 388359346 + ... + 388361678.

Almost surely, 2^906045074496 is an apocalyptic number.

906045074496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

906045074496 is the 951864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906045074496

906045074496 is an abundant number, since it is smaller than the sum of its proper divisors (1853904319615).

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

906045074496 is an equidigital number, since it uses as much as digits as its factorization.

906045074496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 906045074496 in words is "nine hundred six billion, forty-five million, seventy-four thousand, four hundred ninety-six".