12392865450 has 144 divisors (see below), whose sum is σ = 38770482816. Its totient is φ = 2779171200.

The previous prime is 12392865437. The next prime is 12392865461. The reversal of 12392865450 is 5456829321.

12392865450 is a `hidden beast` number, since 1 + 23 + 9 + 2 + 86 + 545 + 0 = 666.

12392865450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12392865450² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12392865396 and 12392865405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129835 + ... + 204065.

It is an arithmetic number, because the mean of its divisors is an integer number (269239464).

Almost surely, 2^12392865450 is an apocalyptic number.

12392865450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12392865450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385241408).

12392865450 is an abundant number, since it is smaller than the sum of its proper divisors (26377617366).

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

12392865450 is a wasteful number, since it uses less digits than its factorization.

12392865450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74309 (or 74301 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12392865450 in words is "twelve billion, three hundred ninety-two million, eight hundred sixty-five thousand, four hundred fifty".