83088654336 has 300 divisors, whose sum is σ = 250591661628. Its totient is φ = 27433893888.

The previous prime is 83088654331. The next prime is 83088654353. The reversal of 83088654336 is 63345688038.

It can be written as a sum of positive squares in 2 ways, for example, as 61345382400 + 21743271936 = 247680^2 + 147456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83088654331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181813020 + ... + 181813476.

Almost surely, 2^83088654336 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 83088654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125295830814).

83088654336 is an abundant number, since it is smaller than the sum of its proper divisors (167503007292).

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

83088654336 is an equidigital number, since it uses as much as digits as its factorization.

83088654336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 83088654336 in words is "eighty-three billion, eighty-eight million, six hundred fifty-four thousand, three hundred thirty-six".