1007033674345 has 16 divisors (see below), whose sum is σ = 1245075371280. Its totient is φ = 781545217024.

The previous prime is 1007033674319. The next prime is 1007033674351. The reversal of 1007033674345 is 5434763307001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 214002460816 + 793031213529 = 462604^2 + 890523^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007033674345 - 2¹³ = 1007033666153 is a prime.

It is a super-2 number, since 2×1007033674345² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21325444 + ... + 21372613.

It is an arithmetic number, because the mean of its divisors is an integer number (77817210705).

Almost surely, 2^{1007033674345} is an apocalyptic number.

It is an amenable number.

1007033674345 is a deficient number, since it is larger than the sum of its proper divisors (238041696935).

1007033674345 is an equidigital number, since it uses as much as digits as its factorization.

1007033674345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42698204.

The product of its (nonzero) digits is 635040, while the sum is 43.

The spelling of 1007033674345 in words is "one trillion, seven billion, thirty-three million, six hundred seventy-four thousand, three hundred forty-five".