11630626176468 has 96 divisors (see below), whose sum is σ = 29567614445824. Its totient is φ = 3536885772288.

The previous prime is 11630626176467. The next prime is 11630626176571. The reversal of 11630626176468 is 86467162603611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630626176467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10472346 + ... + 11529582.

Almost surely, 2^{11630626176468} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630626176468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783807222912).

11630626176468 is an abundant number, since it is smaller than the sum of its proper divisors (17936988269356).

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

11630626176468 is a wasteful number, since it uses less digits than its factorization.

11630626176468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058081 (or 1058079 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 11630626176468 in words is "eleven trillion, six hundred thirty billion, six hundred twenty-six million, one hundred seventy-six thousand, four hundred sixty-eight".