82423289509344 has 288 divisors, whose sum is σ = 286758212622336. Its totient is φ = 22789849167360.

The previous prime is 82423289509243. The next prime is 82423289509427. The reversal of 82423289509344 is 44390598232428.

82423289509344 is a `hidden beast` number, since 8 + 2 + 4 + 2 + 3 + 2 + 89 + 509 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×82423289509344³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22735887 + ... + 26110670.

It is an arithmetic number, because the mean of its divisors is an integer number (995688238272).

Almost surely, 2^{82423289509344} is an apocalyptic number.

82423289509344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82423289509344 is an abundant number, since it is smaller than the sum of its proper divisors (204334923112992).

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

82423289509344 is a wasteful number, since it uses less digits than its factorization.

82423289509344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48846620 (or 48846600 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 82423289509344 in words is "eighty-two trillion, four hundred twenty-three billion, two hundred eighty-nine million, five hundred nine thousand, three hundred forty-four".