8074475449344 has 352 divisors, whose sum is σ = 24180015552000. Its totient is φ = 2661503090688.

The previous prime is 8074475449319. The next prime is 8074475449399. The reversal of 8074475449344 is 4439445744708.

8074475449344 is a `hidden beast` number, since 8 + 0 + 7 + 4 + 47 + 544 + 9 + 3 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696672437 + ... + 1696677195.

It is an arithmetic number, because the mean of its divisors is an integer number (68693226000).

Almost surely, 2^{8074475449344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8074475449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090007776000).

8074475449344 is an abundant number, since it is smaller than the sum of its proper divisors (16105540102656).

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

8074475449344 is a wasteful number, since it uses less digits than its factorization.

8074475449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 8074475449344 in words is "eight trillion, seventy-four billion, four hundred seventy-five million, four hundred forty-nine thousand, three hundred forty-four".