1006926286336 has 40 divisors (see below), whose sum is σ = 2014996143600. Its totient is φ = 502684827648.

The previous prime is 1006926286307. The next prime is 1006926286369. The reversal of 1006926286336 is 6336826296001.

1006926286336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006926286336² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1188561 + ... + 1851088.

It is an arithmetic number, because the mean of its divisors is an integer number (50374903590).

Almost surely, 2^{1006926286336} is an apocalyptic number.

1006926286336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006926286336 is an abundant number, since it is smaller than the sum of its proper divisors (1008069857264).

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

1006926286336 is an frugal number, since it uses more digits than its factorization.

1006926286336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040314 (or 3040298 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 1006926286336 in words is "one trillion, six billion, nine hundred twenty-six million, two hundred eighty-six thousand, three hundred thirty-six".