83456448768 has 1296 divisors, whose sum is σ = 335878583040. Its totient is φ = 20379340800.

The previous prime is 83456448767. The next prime is 83456448793. The reversal of 83456448768 is 86784465438.

83456448768 is a `hidden beast` number, since 8 + 3 + 4 + 564 + 4 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (83456448767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 637072063 + ... + 637072193.

Almost surely, 2^83456448768 is an apocalyptic number.

83456448768 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 83456448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167939291520).

83456448768 is an abundant number, since it is smaller than the sum of its proper divisors (252422134272).

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

83456448768 is a wasteful number, since it uses less digits than its factorization.

83456448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 83456448768 in words is "eighty-three billion, four hundred fifty-six million, four hundred forty-eight thousand, seven hundred sixty-eight".