1004007337745 has 8 divisors (see below), whose sum is σ = 1204814246760. Its totient is φ = 803202242560.

The previous prime is 1004007337741. The next prime is 1004007337777. The reversal of 1004007337745 is 5477337004001.

It can be written as a sum of positive squares in 4 ways, for example, as 37405456 + 1003969932289 = 6116^2 + 1001983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1004007337745 - 2² = 1004007337741 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004007337741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1658705 + ... + 2181585.

It is an arithmetic number, because the mean of its divisors is an integer number (150601780845).

Almost surely, 2^{1004007337745} is an apocalyptic number.

It is an amenable number.

1004007337745 is a deficient number, since it is larger than the sum of its proper divisors (200806909015).

1004007337745 is an equidigital number, since it uses as much as digits as its factorization.

1004007337745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906915.

The product of its (nonzero) digits is 246960, while the sum is 41.

The spelling of 1004007337745 in words is "one trillion, four billion, seven million, three hundred thirty-seven thousand, seven hundred forty-five".