1245130009344 has 216 divisors, whose sum is σ = 4009366069072. Its totient is φ = 383116677120.

The previous prime is 1245130009339. The next prime is 1245130009351. The reversal of 1245130009344 is 4439000315421.

1245130009344 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 1 + 300 + 0 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×1245130009344³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1245130009299 and 1245130009308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38874 + ... + 1578534.

Almost surely, 2^{1245130009344} 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 1245130009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004683034536).

1245130009344 is an abundant number, since it is smaller than the sum of its proper divisors (2764236059728).

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

1245130009344 is an equidigital number, since it uses as much as digits as its factorization.

1245130009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539705 (or 1539679 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1245130009344 in words is "one trillion, two hundred forty-five billion, one hundred thirty million, nine thousand, three hundred forty-four".