84848041600 has 768 divisors, whose sum is σ = 267125760000. Its totient is φ = 25978060800.

The previous prime is 84848041591. The next prime is 84848041633. The reversal of 84848041600 is 614084848.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778422346 + ... + 778422454.

It is an arithmetic number, because the mean of its divisors is an integer number (347820000).

Almost surely, 2^84848041600 is an apocalyptic number.

84848041600 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 84848041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880000).

84848041600 is an abundant number, since it is smaller than the sum of its proper divisors (182277718400).

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

84848041600 is a wasteful number, since it uses less digits than its factorization.

84848041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 84848041600 in words is "eighty-four billion, eight hundred forty-eight million, forty-one thousand, six hundred".