82833673531392 has 1248 divisors, whose sum is σ = 308809559385600. Its totient is φ = 21646998503424.

The previous prime is 82833673531391. The next prime is 82833673531423. The reversal of 82833673531392 is 29313537633828.

82833673531392 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 3 + 6 + 7 + 3 + 531 + 3 + 92 = 666.

It is a super-2 number, since 2×82833673531392² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82833673531391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3838969308 + ... + 3838990884.

It is an arithmetic number, because the mean of its divisors is an integer number (247443557200).

Almost surely, 2^{82833673531392} 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 82833673531392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154404779692800).

82833673531392 is an abundant number, since it is smaller than the sum of its proper divisors (225975885854208).

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

82833673531392 is a wasteful number, since it uses less digits than its factorization.

82833673531392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21671 (or 21637 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 82833673531392 in words is "eighty-two trillion, eight hundred thirty-three billion, six hundred seventy-three million, five hundred thirty-one thousand, three hundred ninety-two".