1245200646144 has 1152 divisors, whose sum is σ = 4566069688320. Its totient is φ = 292326211584.

The previous prime is 1245200646133. The next prime is 1245200646191. The reversal of 1245200646144 is 4416460025421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13991018452 + ... + 13991018540.

It is an arithmetic number, because the mean of its divisors is an integer number (3963602160).

Almost surely, 2^{1245200646144} is an apocalyptic number.

1245200646144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1245200646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283034844160).

1245200646144 is an abundant number, since it is smaller than the sum of its proper divisors (3320869042176).

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

1245200646144 is an equidigital number, since it uses as much as digits as its factorization.

1245200646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 1245200646144 in words is "one trillion, two hundred forty-five billion, two hundred million, six hundred forty-six thousand, one hundred forty-four".