2006460918016 has 81 divisors (see below), whose sum is σ = 4033283995881. Its totient is φ = 996215970816.

The previous prime is 2006460917969. The next prime is 2006460918031. The reversal of 2006460918016 is 6108190646002.

The square root of 2006460918016 is 1416496.

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., 1344672160000 + 661788758016 = 1159600^2 + 813504^2 .

It is a super-3 number, since 3×2006460918016³ (a number of 38 digits) contains 333 as substring.

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, 5054057530 + ... + 5054057926.

Almost surely, 2^{2006460918016} is an apocalyptic number.

2006460918016 is the 1416496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006460918016

2006460918016 is an abundant number, since it is smaller than the sum of its proper divisors (2026823077865).

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

2006460918016 is an frugal number, since it uses more digits than its factorization.

2006460918016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 2006460918016 in words is "two trillion, six billion, four hundred sixty million, nine hundred eighteen thousand, sixteen".