1206295723248 has 320 divisors, whose sum is σ = 4131882209280. Its totient is φ = 293771059200.

The previous prime is 1206295723159. The next prime is 1206295723261. The reversal of 1206295723248 is 8423275926021.

It is a self number, because there is not a number n which added to its sum of digits gives 1206295723248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6723183 + ... + 6900273.

It is an arithmetic number, because the mean of its divisors is an integer number (12912131904).

It is a 1-persistent number, because it is pandigital, but 2⋅1206295723248 = 2412591446496 is not.

Almost surely, 2^{1206295723248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206295723248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065941104640).

1206295723248 is an abundant number, since it is smaller than the sum of its proper divisors (2925586486032).

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

1206295723248 is a wasteful number, since it uses less digits than its factorization.

1206295723248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177236 (or 177230 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1206295723248 in words is "one trillion, two hundred six billion, two hundred ninety-five million, seven hundred twenty-three thousand, two hundred forty-eight".