1411115913216 has 351 divisors, whose sum is σ = 4276883625469. Its totient is φ = 448248446976.

The previous prime is 1411115913199. The next prime is 1411115913217. The reversal of 1411115913216 is 6123195111141.

The square root of 1411115913216 is 1187904.

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

1411115913216 is a `hidden beast` number, since 1 + 4 + 11 + 11 + 591 + 32 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92844527616 + 1318271385600 = 304704^2 + 1148160^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1411115913217) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5245783930 + ... + 5245784198.

Almost surely, 2^{1411115913216} is an apocalyptic number.

1411115913216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1411115913216 is the 1187904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411115913216

1411115913216 is an abundant number, since it is smaller than the sum of its proper divisors (2865767712253).

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

1411115913216 is an frugal number, since it uses more digits than its factorization.

1411115913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 297 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

Multiplying 1411115913216 by its sum of digits (36), we get a square (50800172875776 = 7127424²).

1411115913216 divided by its sum of digits (36) gives a square (39197664256 = 197984²).

The spelling of 1411115913216 in words is "one trillion, four hundred eleven billion, one hundred fifteen million, nine hundred thirteen thousand, two hundred sixteen".