11682629278632 has 48 divisors (see below), whose sum is σ = 34074335398740. Its totient is φ = 3594655162368.

The previous prime is 11682629278631. The next prime is 11682629278633. The reversal of 11682629278632 is 23687292628611.

11682629278632 is a `hidden beast` number, since 1 + 168 + 262 + 92 + 78 + 63 + 2 = 666.

11682629278632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11682629278631) and next prime (11682629278633).

It can be written as a sum of positive squares in 2 ways, for example, as 11602566312516 + 80062966116 = 3406254^2 + 282954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11682629278632.

It is not an unprimeable number, because it can be changed into a prime (11682629278631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6240719833 + ... + 6240721704.

Almost surely, 2^{11682629278632} is an apocalyptic number.

11682629278632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11682629278632 is an abundant number, since it is smaller than the sum of its proper divisors (22391706120108).

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

11682629278632 is a wasteful number, since it uses less digits than its factorization.

11682629278632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481441562 (or 12481441555 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 11682629278632 in words is "eleven trillion, six hundred eighty-two billion, six hundred twenty-nine million, two hundred seventy-eight thousand, six hundred thirty-two".