1245478320100 has 243 divisors, whose sum is σ = 3195042661083. Its totient is φ = 420191157120.

The previous prime is 1245478320083. The next prime is 1245478320101. The reversal of 1245478320100 is 10238745421.

The square root of 1245478320100 is 1116010.

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

It can be written as a sum of positive squares in 4 ways, for example, as 371717018596 + 873761301504 = 609686^2 + 934752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1245478320100.

It is not an unprimeable number, because it can be changed into a prime (1245478320101) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 8358914826 + ... + 8358914974.

Almost surely, 2^{1245478320100} is an apocalyptic number.

1245478320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1245478320100 is the 1116010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1245478320100

1245478320100 is an abundant number, since it is smaller than the sum of its proper divisors (1949564340983).

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

1245478320100 is a wasteful number, since it uses less digits than its factorization.

1245478320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 1245478320100 in words is "one trillion, two hundred forty-five billion, four hundred seventy-eight million, three hundred twenty thousand, one hundred".