82348773380370 has 192 divisors, whose sum is σ = 245521348300800. Its totient is φ = 18758916316800.

The previous prime is 82348773380351. The next prime is 82348773380413. The reversal of 82348773380370 is 7308337784328.

82348773380370 is a `hidden beast` number, since 8 + 2 + 3 + 487 + 7 + 3 + 3 + 80 + 3 + 70 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82348773380298 and 82348773380307.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1292910225 + ... + 1292973915.

It is an arithmetic number, because the mean of its divisors is an integer number (1278757022400).

Almost surely, 2^{82348773380370} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82348773380370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760674150400).

82348773380370 is an abundant number, since it is smaller than the sum of its proper divisors (163172574920430).

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

82348773380370 is a wasteful number, since it uses less digits than its factorization.

82348773380370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70621 (or 70618 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 82348773380370 in words is "eighty-two trillion, three hundred forty-eight billion, seven hundred seventy-three million, three hundred eighty thousand, three hundred seventy".