9085443506496 has 1260 divisors, whose sum is σ = 33504036733728. Its totient is φ = 2383113083904.

The previous prime is 9085443506483. The next prime is 9085443506509. The reversal of 9085443506496 is 6946053445809.

9085443506496 is a `hidden beast` number, since 9 + 0 + 8 + 54 + 43 + 50 + 6 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (9085443506483) and next prime (9085443506509).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 71538925185 + ... + 71538925311.

Almost surely, 2^{9085443506496} is an apocalyptic number.

9085443506496 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 9085443506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752018366864).

9085443506496 is an abundant number, since it is smaller than the sum of its proper divisors (24418593227232).

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

9085443506496 is a wasteful number, since it uses less digits than its factorization.

9085443506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 9085443506496 in words is "nine trillion, eighty-five billion, four hundred forty-three million, five hundred six thousand, four hundred ninety-six".