8245192293324 has 216 divisors, whose sum is σ = 25684923858048. Its totient is φ = 2215988167680.

The previous prime is 8245192293313. The next prime is 8245192293347. The reversal of 8245192293324 is 4233922915428.

8245192293324 is a `hidden beast` number, since 8 + 2 + 4 + 519 + 2 + 2 + 93 + 32 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55733797 + ... + 55881539.

It is an arithmetic number, because the mean of its divisors is an integer number (118911684528).

Almost surely, 2^{8245192293324} is an apocalyptic number.

8245192293324 is a gapful number since it is divisible by the number (84) 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 8245192293324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842461929024).

8245192293324 is an abundant number, since it is smaller than the sum of its proper divisors (17439731564724).

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

8245192293324 is a wasteful number, since it uses less digits than its factorization.

8245192293324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149645 (or 149633 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 8245192293324 in words is "eight trillion, two hundred forty-five billion, one hundred ninety-two million, two hundred ninety-three thousand, three hundred twenty-four".