2111778614416 has 45 divisors (see below), whose sum is σ = 4318476752793. Its totient is φ = 1000263870720.

The previous prime is 2111778614369. The next prime is 2111778614437. The reversal of 2111778614416 is 6144168771112.

The square root of 2111778614416 is 1453196.

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., 1844696374416 + 267082240000 = 1358196^2 + 516800^2 .

It is a super-3 number, since 3×2111778614416³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2111778614416.

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, 110433336 + ... + 110452456.

Almost surely, 2^{2111778614416} is an apocalyptic number.

2111778614416 is the 1453196-th square number.

It is an amenable number.

2111778614416 is an abundant number, since it is smaller than the sum of its proper divisors (2206698138377).

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

2111778614416 is an frugal number, since it uses more digits than its factorization.

2111778614416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38288 (or 19142 counting only the distinct ones).

The product of its digits is 451584, while the sum is 49.

Multiplying 2111778614416 by its sum of digits (49), we get a square (103477152106384 = 10172372²).

The spelling of 2111778614416 in words is "two trillion, one hundred eleven billion, seven hundred seventy-eight million, six hundred fourteen thousand, four hundred sixteen".