8145358848 has 312 divisors, whose sum is σ = 26220373920. Its totient is φ = 2415329280.

The previous prime is 8145358783. The next prime is 8145358877. The reversal of 8145358848 is 8488535418.

8145358848 is a `hidden beast` number, since 8 + 1 + 4 + 53 + 588 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8145358794 and 8145358803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21491523 + ... + 21491901.

It is an arithmetic number, because the mean of its divisors is an integer number (84039660).

Almost surely, 2^8145358848 is an apocalyptic number.

8145358848 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 8145358848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110186960).

8145358848 is an abundant number, since it is smaller than the sum of its proper divisors (18075015072).

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

8145358848 is a wasteful number, since it uses less digits than its factorization.

8145358848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The square root of 8145358848 is about 90251.6418022409. The cubic root of 8145358848 is about 2012.0406037967.

The spelling of 8145358848 in words is "eight billion, one hundred forty-five million, three hundred fifty-eight thousand, eight hundred forty-eight".