83332426464 has 144 divisors (see below), whose sum is σ = 271529163360. Its totient is φ = 23747834880.

The previous prime is 83332426447. The next prime is 83332426523. The reversal of 83332426464 is 46462423338.

It is a happy number.

83332426464 is a `hidden beast` number, since 8 + 3 + 3 + 324 + 264 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731094 + ... + 837354.

It is an arithmetic number, because the mean of its divisors is an integer number (1885619190).

Almost surely, 2^83332426464 is an apocalyptic number.

83332426464 is a gapful number since it is divisible by the number (84) 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 83332426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135764581680).

83332426464 is an abundant number, since it is smaller than the sum of its proper divisors (188196736896).

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

83332426464 is a wasteful number, since it uses less digits than its factorization.

83332426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106673 (or 106662 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

It can be divided in two parts, 83332 and 426464, that added together give a square (509796 = 714²).

The spelling of 83332426464 in words is "eighty-three billion, three hundred thirty-two million, four hundred twenty-six thousand, four hundred sixty-four".