82337499473328 has 120 divisors (see below), whose sum is σ = 252421948034256. Its totient is φ = 24847227187200.

The previous prime is 82337499473233. The next prime is 82337499473347.

It is a happy number.

82337499473328 is a `hidden beast` number, since 8 + 2 + 3 + 37 + 4 + 99 + 473 + 32 + 8 = 666.

82337499473328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107462125 + ... + 108225612.

Almost surely, 2^{82337499473328} is an apocalyptic number.

82337499473328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82337499473328 is an abundant number, since it is smaller than the sum of its proper divisors (170084448560928).

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

82337499473328 is a wasteful number, since it uses less digits than its factorization.

82337499473328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215688003 (or 215687994 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 82337499473328 in words is "eighty-two trillion, three hundred thirty-seven billion, four hundred ninety-nine million, four hundred seventy-three thousand, three hundred twenty-eight".