82443494425600 has 1485 divisors, whose sum is σ = 265456980378765. Its totient is φ = 25313141145600.

The previous prime is 82443494425577. The next prime is 82443494425609. The reversal of 82443494425600 is 652449434428.

The square root of 82443494425600 is 9079840.

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., 29679657993216 + 52763836432384 = 5447904^2 + 7263872^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (82443494425609) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1230499916767 + ... + 1230499916833.

Almost surely, 2^{82443494425600} is an apocalyptic number.

82443494425600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82443494425600 is the 9079840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82443494425600

82443494425600 is an abundant number, since it is smaller than the sum of its proper divisors (183013485953165).

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

82443494425600 is an frugal number, since it uses more digits than its factorization.

82443494425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 55.

The spelling of 82443494425600 in words is "eighty-two trillion, four hundred forty-three billion, four hundred ninety-four million, four hundred twenty-five thousand, six hundred".