1001208364816 has 45 divisors (see below), whose sum is σ = 2132315918229. Its totient is φ = 455074699200.

The previous prime is 1001208364777. The next prime is 1001208364841. The reversal of 1001208364816 is 6184638021001.

The square root of 1001208364816 is 1000604.

It is a perfect power (a square), and thus also a powerful number.

1001208364816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 82831142416 + 918377222400 = 287804^2 + 958320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44015206 + ... + 44037946.

Almost surely, 2^{1001208364816} is an apocalyptic number.

1001208364816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1001208364816 is the 1000604-th square number.

It is an amenable number.

1001208364816 is an abundant number, since it is smaller than the sum of its proper divisors (1131107553413).

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

1001208364816 is an frugal number, since it uses more digits than its factorization.

1001208364816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45512 (or 22754 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 1001208364816 in words is "one trillion, one billion, two hundred eight million, three hundred sixty-four thousand, eight hundred sixteen".