1242281664 has 224 divisors, whose sum is σ = 4165640640. Its totient is φ = 359645184.

The previous prime is 1242281657. The next prime is 1242281699. The reversal of 1242281664 is 4661822421.

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

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 380262 + ... + 383514.

It is an arithmetic number, because the mean of its divisors is an integer number (18596610).

Almost surely, 2^1242281664 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 1242281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082820320).

1242281664 is an abundant number, since it is smaller than the sum of its proper divisors (2923358976).

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

1242281664 is a wasteful number, since it uses less digits than its factorization.

1242281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3288 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1242281664 is about 35246.0162855322. The cubic root of 1242281664 is about 1074.9956124573.

The spelling of 1242281664 in words is "one billion, two hundred forty-two million, two hundred eighty-one thousand, six hundred sixty-four".