11777129412416 has 28 divisors (see below), whose sum is σ = 23373434327460. Its totient is φ = 5887760133120.

The previous prime is 11777129412353. The next prime is 11777129412473. The reversal of 11777129412416 is 61421492177711.

11777129412416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2834158782016 + 8942970630400 = 1683496^2 + 2990480^2 .

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12099251 + ... + 13036338.

It is an arithmetic number, because the mean of its divisors is an integer number (834765511695).

Almost surely, 2^{11777129412416} is an apocalyptic number.

11777129412416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11777129412416 is a deficient number, since it is larger than the sum of its proper divisors (11596304915044).

11777129412416 is an equidigital number, since it uses as much as digits as its factorization.

11777129412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142922 (or 25142912 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 53.

The spelling of 11777129412416 in words is "eleven trillion, seven hundred seventy-seven billion, one hundred twenty-nine million, four hundred twelve thousand, four hundred sixteen".