82412190109456 has 15 divisors (see below), whose sum is σ = 159673688692501. Its totient is φ = 41206076898496.

The previous prime is 82412190109399. The next prime is 82412190109517. The reversal of 82412190109456 is 65490109121428.

The square root of 82412190109456 is 9078116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36035000503056 + 46377189606400 = 6002916^2 + 6810080^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 35177700 + ... + 37447228.

Almost surely, 2^{82412190109456} is an apocalyptic number.

82412190109456 is the 9078116-th square number.

It is an amenable number.

82412190109456 is a deficient number, since it is larger than the sum of its proper divisors (77261498583045).

82412190109456 is an frugal number, since it uses more digits than its factorization.

82412190109456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539066 (or 2269531 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 82412190109456 in words is "eighty-two trillion, four hundred twelve billion, one hundred ninety million, one hundred nine thousand, four hundred fifty-six".