1242634457664 has 784 divisors, whose sum is σ = 3951429461616. Its totient is φ = 386983526400.

The previous prime is 1242634457651. The next prime is 1242634457693. The reversal of 1242634457664 is 4667544362421.

1242634457664 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 6 + 3 + 4 + 4 + 576 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 206733902400 + 1035900555264 = 454680^2 + 1017792^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1242634457664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6865383654 + ... + 6865383834.

It is an arithmetic number, because the mean of its divisors is an integer number (5040088599).

Almost surely, 2^{1242634457664} 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 1242634457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975714730808).

1242634457664 is an abundant number, since it is smaller than the sum of its proper divisors (2708795003952).

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

1242634457664 is an equidigital number, since it uses as much as digits as its factorization.

1242634457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 1242634457664 in words is "one trillion, two hundred forty-two billion, six hundred thirty-four million, four hundred fifty-seven thousand, six hundred sixty-four".