83026227648 has 896 divisors, whose sum is σ = 302027636736. Its totient is φ = 19508428800.

The previous prime is 83026227587. The next prime is 83026227649. The reversal of 83026227648 is 84672262038.

It is a super-2 number, since 2×83026227648² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 83026227597 and 83026227606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83026227649) 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 127 ways as a sum of consecutive naturals, for example, 653749761 + ... + 653749887.

It is an arithmetic number, because the mean of its divisors is an integer number (337084416).

Almost surely, 2^83026227648 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 83026227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151013818368).

83026227648 is an abundant number, since it is smaller than the sum of its proper divisors (219001409088).

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

83026227648 is a wasteful number, since it uses less digits than its factorization.

83026227648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 83026227648 in words is "eighty-three billion, twenty-six million, two hundred twenty-seven thousand, six hundred forty-eight".