84020226048 has 384 divisors, whose sum is σ = 277385472000. Its totient is φ = 24910479360.

The previous prime is 84020226047. The next prime is 84020226067. The reversal of 84020226048 is 84062202048.

It is a happy number.

84020226048 is a `hidden beast` number, since 8 + 4 + 0 + 20 + 22 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84020226047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28586563 + ... + 28589501.

It is an arithmetic number, because the mean of its divisors is an integer number (722358000).

Almost surely, 2^84020226048 is an apocalyptic number.

84020226048 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 84020226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736000).

84020226048 is an abundant number, since it is smaller than the sum of its proper divisors (193365245952).

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

84020226048 is a wasteful number, since it uses less digits than its factorization.

84020226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 84020226048 in words is "eighty-four billion, twenty million, two hundred twenty-six thousand, forty-eight".