11128535714916 has 81 divisors (see below), whose sum is σ = 28207529744121. Its totient is φ = 3699377301024.

The previous prime is 11128535714851. The next prime is 11128535715029. The reversal of 11128535714916 is 61941753582111.

The square root of 11128535714916 is 3335946.

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

11128535714916 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 53 + 571 + 4 + 9 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36278820900 + 11092256894016 = 190470^2 + 3330504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12269608935 + ... + 12269609841.

Almost surely, 2^{11128535714916} is an apocalyptic number.

11128535714916 is the 3335946-th square number.

It is an amenable number.

11128535714916 is an abundant number, since it is smaller than the sum of its proper divisors (17078994029205).

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

11128535714916 is an frugal number, since it uses more digits than its factorization.

11128535714916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 1525 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

It can be divided in two parts, 1112853 and 5714916, that added together give a square (6827769 = 2613²).

The spelling of 11128535714916 in words is "eleven trillion, one hundred twenty-eight billion, five hundred thirty-five million, seven hundred fourteen thousand, nine hundred sixteen".