11407128116616 has 96 divisors (see below), whose sum is σ = 30922804575000. Its totient is φ = 3798869870592.

The previous prime is 11407128116603. The next prime is 11407128116623. The reversal of 11407128116616 is 61661182170411.

11407128116616 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 7 + 1 + 28 + 1 + 1 + 6 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6572608964100 + 4834519152516 = 2563710^2 + 2198754^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474316560 + ... + 474340608.

Almost surely, 2^{11407128116616} is an apocalyptic number.

It is an amenable number.

11407128116616 is an abundant number, since it is smaller than the sum of its proper divisors (19515676458384).

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

11407128116616 is a wasteful number, since it uses less digits than its factorization.

11407128116616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29863 (or 29856 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11407128116616 in words is "eleven trillion, four hundred seven billion, one hundred twenty-eight million, one hundred sixteen thousand, six hundred sixteen".