83678289984 has 189 divisors, whose sum is σ = 255147252087. Its totient is φ = 26214985728.

The previous prime is 83678289977. The next prime is 83678289991. The reversal of 83678289984 is 48998287638.

The square root of 83678289984 is 289272.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (83678289977) and next prime (83678289991).

It can be written as a sum of positive squares in 4 ways, for example, as 1120910400 + 82557379584 = 33480^2 + 287328^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 118022622 + ... + 118023330.

Almost surely, 2^83678289984 is an apocalyptic number.

83678289984 is the 289272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83678289984

83678289984 is an abundant number, since it is smaller than the sum of its proper divisors (171468962103).

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

83678289984 is an equidigital number, since it uses as much as digits as its factorization.

83678289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 731 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 83678289984 in words is "eighty-three billion, six hundred seventy-eight million, two hundred eighty-nine thousand, nine hundred eighty-four".