8824049540361 has 256 divisors, whose sum is σ = 15688138752000. Its totient is φ = 4844286881280.

The previous prime is 8824049540329. The next prime is 8824049540393. The reversal of 8824049540361 is 1630459404288.

8824049540361 is a `hidden beast` number, since 8 + 8 + 24 + 0 + 49 + 540 + 36 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (8824049540329) and next prime (8824049540393).

It is not a de Polignac number, because 8824049540361 - 2⁵ = 8824049540329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8824049540298 and 8824049540307.

It is not an unprimeable number, because it can be changed into a prime (8824049540161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2224361400 + ... + 2224365366.

It is an arithmetic number, because the mean of its divisors is an integer number (61281792000).

Almost surely, 2^{8824049540361} is an apocalyptic number.

It is an amenable number.

8824049540361 is a deficient number, since it is larger than the sum of its proper divisors (6864089211639).

8824049540361 is a wasteful number, since it uses less digits than its factorization.

8824049540361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 8824049540361 in words is "eight trillion, eight hundred twenty-four billion, forty-nine million, five hundred forty thousand, three hundred sixty-one".