1242626345568 has 288 divisors, whose sum is σ = 3876501888000. Its totient is φ = 386525905920.

The previous prime is 1242626345567. The next prime is 1242626345641. The reversal of 1242626345568 is 8655436262421.

1242626345568 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 626 + 3 + 4 + 5 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242626345563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33386233 + ... + 33423431.

It is an arithmetic number, because the mean of its divisors is an integer number (13460076000).

Almost surely, 2^{1242626345568} is an apocalyptic number.

1242626345568 is a gapful number since it is divisible by the number (18) 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 1242626345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938250944000).

1242626345568 is an abundant number, since it is smaller than the sum of its proper divisors (2633875542432).

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

1242626345568 is a wasteful number, since it uses less digits than its factorization.

1242626345568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37323 (or 37268 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 1242626345568 in words is "one trillion, two hundred forty-two billion, six hundred twenty-six million, three hundred forty-five thousand, five hundred sixty-eight".