2002117461444 has 63 divisors (see below), whose sum is σ = 5253355732863. Its totient is φ = 667347017832.

The previous prime is 2002117461319. The next prime is 2002117461451. The reversal of 2002117461444 is 4441647112002.

The square root of 2002117461444 is 1414962.

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

2002117461444 is a `hidden beast` number, since 2 + 0 + 0 + 21 + 17 + 4 + 614 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2002117461399 and 2002117461408.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 76394847 + ... + 76421049.

Almost surely, 2^{2002117461444} is an apocalyptic number.

2002117461444 is the 1414962-nd square number.

It is an amenable number.

2002117461444 is an abundant number, since it is smaller than the sum of its proper divisors (3251238271419).

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

2002117461444 is an frugal number, since it uses more digits than its factorization.

2002117461444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52428 (or 26208 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 2002117461444 by its sum of digits (36), we get a square (72076228611984 = 8489772²).

2002117461444 divided by its sum of digits (36) gives a square (55614373929 = 235827²).

It can be divided in two parts, 200211 and 7461444, that added together give a triangular number (7661655 = T₃₉₁₄).

The spelling of 2002117461444 in words is "two trillion, two billion, one hundred seventeen million, four hundred sixty-one thousand, four hundred forty-four".