11616555406032 has 50 divisors (see below), whose sum is σ = 33621681584018. Its totient is φ = 3872185134912.

The previous prime is 11616555406009. The next prime is 11616555406037. The reversal of 11616555406032 is 23060455561611.

11616555406032 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 6 + 5 + 554 + 0 + 60 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11320506243216 + 296049162816 = 3364596^2 + 544104^2 .

It is a super-2 number, since 2×11616555406032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11616555406037) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4481694463 + ... + 4481697054.

Almost surely, 2^{11616555406032} is an apocalyptic number.

11616555406032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11616555406032 is an abundant number, since it is smaller than the sum of its proper divisors (22005126177986).

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

11616555406032 is an equidigital number, since it uses as much as digits as its factorization.

11616555406032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963391537 (or 8963391522 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 11616555406032 in words is "eleven trillion, six hundred sixteen billion, five hundred fifty-five million, four hundred six thousand, thirty-two".