8342082090000 has 150 divisors (see below), whose sum is σ = 29173466350886. Its totient is φ = 2224555200000.

The previous prime is 8342082089951. The next prime is 8342082090007. The reversal of 8342082090000 is 902802438.

It can be written as a sum of positive squares in 5 ways, for example, as 1190158811136 + 7151923278864 = 1090944^2 + 2674308^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8342082090007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46254901 + ... + 46434900.

Almost surely, 2^{8342082090000} is an apocalyptic number.

8342082090000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8342082090000 is an abundant number, since it is smaller than the sum of its proper divisors (20831384260886).

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

8342082090000 is a wasteful number, since it uses less digits than its factorization.

8342082090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92689835 (or 92689811 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 8342082090000 its reverse (902802438), we get a palindrome (8342984892438).

The spelling of 8342082090000 in words is "eight trillion, three hundred forty-two billion, eighty-two million, ninety thousand".