8345748346848 has 2880 divisors, whose sum is σ = 32962447203840. Its totient is φ = 2036441088000.

The previous prime is 8345748346841. The next prime is 8345748346853. The reversal of 8345748346848 is 8486438475438.

8345748346848 is a `hidden beast` number, since 8 + 3 + 4 + 574 + 8 + 3 + 4 + 6 + 8 + 48 = 666.

It is a super-2 number, since 2×8345748346848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8345748346841) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 203554837708 + ... + 203554837748.

It is an arithmetic number, because the mean of its divisors is an integer number (11445294168).

Almost surely, 2^{8345748346848} is an apocalyptic number.

8345748346848 is a gapful number since it is divisible by the number (88) 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 8345748346848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481223601920).

8345748346848 is an abundant number, since it is smaller than the sum of its proper divisors (24616698856992).

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

8345748346848 is a wasteful number, since it uses less digits than its factorization.

8345748346848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 147 counting only the distinct ones).

The product of its digits is 1981808640, while the sum is 72.

The spelling of 8345748346848 in words is "eight trillion, three hundred forty-five billion, seven hundred forty-eight million, three hundred forty-six thousand, eight hundred forty-eight".