8348534250000 has 2240 divisors, whose sum is σ = 35153550028800. Its totient is φ = 1697203200000.

The previous prime is 8348534249969. The next prime is 8348534250013. The reversal of 8348534250000 is 524358438.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 100584749959 + ... + 100584750041.

It is an arithmetic number, because the mean of its divisors is an integer number (15693549120).

Almost surely, 2^{8348534250000} is an apocalyptic number.

8348534250000 is a gapful number since it is divisible by the number (80) 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 8348534250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17576775014400).

8348534250000 is an abundant number, since it is smaller than the sum of its proper divisors (26805015778800).

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

8348534250000 is an equidigital number, since it uses as much as digits as its factorization.

8348534250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 8348534250000 in words is "eight trillion, three hundred forty-eight billion, five hundred thirty-four million, two hundred fifty thousand".