84067201944 has 768 divisors, whose sum is σ = 287637504000. Its totient is φ = 22632825600.

The previous prime is 84067201903. The next prime is 84067201979. The reversal of 84067201944 is 44910276048.

It is a self number, because there is not a number n which added to its sum of digits gives 84067201944.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 661946409 + ... + 661946535.

It is an arithmetic number, because the mean of its divisors is an integer number (374528000).

Almost surely, 2^84067201944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84067201944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143818752000).

84067201944 is an abundant number, since it is smaller than the sum of its proper divisors (203570302056).

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

84067201944 is a wasteful number, since it uses less digits than its factorization.

84067201944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 84067201944 in words is "eighty-four billion, sixty-seven million, two hundred one thousand, nine hundred forty-four".