848226601313280 has 1408 divisors, whose sum is σ = 3483527286620160. Its totient is φ = 191726608711680.

The previous prime is 848226601313279. The next prime is 848226601313297. The reversal of 848226601313280 is 82313106622848.

848226601313280 is a `hidden beast` number, since 8 + 4 + 8 + 2 + 2 + 6 + 601 + 3 + 1 + 3 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38220445864 + ... + 38220468056.

Almost surely, 2^{848226601313280} is an apocalyptic number.

848226601313280 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 848226601313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741763643310080).

848226601313280 is an abundant number, since it is smaller than the sum of its proper divisors (2635300685306880).

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

848226601313280 is a wasteful number, since it uses less digits than its factorization.

848226601313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22672 (or 22648 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 848226601313280 in words is "eight hundred forty-eight trillion, two hundred twenty-six billion, six hundred one million, three hundred thirteen thousand, two hundred eighty".