2008291448164 has 27 divisors (see below), whose sum is σ = 3557780439577. Its totient is φ = 991931377184.

The previous prime is 2008291448161. The next prime is 2008291448179. The reversal of 2008291448164 is 4618441928002.

The square root of 2008291448164 is 1417142.

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

It can be written as a sum of positive squares in only one way, i.e., 1774623622500 + 233667825664 = 1332150^2 + 483392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2008291448161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 235241304 + ... + 235249840.

Almost surely, 2^{2008291448164} is an apocalyptic number.

2008291448164 is the 1417142-nd square number.

It is an amenable number.

2008291448164 is a deficient number, since it is larger than the sum of its proper divisors (1549488991413).

2008291448164 is an frugal number, since it uses more digits than its factorization.

2008291448164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17244 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

Multiplying 2008291448164 by its sum of digits (49), we get a square (98406280960036 = 9919994²).

The spelling of 2008291448164 in words is "two trillion, eight billion, two hundred ninety-one million, four hundred forty-eight thousand, one hundred sixty-four".