2216001413376 has 81 divisors (see below), whose sum is σ = 6389484406669. Its totient is φ = 738643319808.

The previous prime is 2216001413371. The next prime is 2216001413551. The reversal of 2216001413376 is 6733141006122.

The square root of 2216001413376 is 1488624.

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

2216001413376 is a `hidden beast` number, since 2 + 2 + 1 + 600 + 1 + 4 + 13 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3571257600 + 2212430155776 = 59760^2 + 1487424^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2216001413376.

It is not an unprimeable number, because it can be changed into a prime (2216001413371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71438446 + ... + 71469458.

Almost surely, 2^{2216001413376} is an apocalyptic number.

2216001413376 is the 1488624-th square number.

It is an amenable number.

2216001413376 is an abundant number, since it is smaller than the sum of its proper divisors (4173482993293).

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

2216001413376 is an frugal number, since it uses more digits than its factorization.

2216001413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62048 (or 31018 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 2216001413376 by its sum of digits (36), we get a square (79776050881536 = 8931744²).

2216001413376 divided by its sum of digits (36) gives a square (61555594816 = 248104²).

Adding to 2216001413376 its reverse (6733141006122), we get a palindrome (8949142419498).

The spelling of 2216001413376 in words is "two trillion, two hundred sixteen billion, one million, four hundred thirteen thousand, three hundred seventy-six".