11829151638 has 24 divisors (see below), whose sum is σ = 25646985000. Its totient is φ = 3940411104.

The previous prime is 11829151601. The next prime is 11829151639. The reversal of 11829151638 is 83615192811.

11829151638 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 9 + 1 + 5 + 1 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11829151593 and 11829151602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11829151639) 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, 192223 + ... + 246186.

It is an arithmetic number, because the mean of its divisors is an integer number (1068624375).

Almost surely, 2^11829151638 is an apocalyptic number.

11829151638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11829151638 is an abundant number, since it is smaller than the sum of its proper divisors (13817833362).

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

11829151638 is a wasteful number, since it uses less digits than its factorization.

11829151638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439916 (or 439913 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 11829151638 in words is "eleven billion, eight hundred twenty-nine million, one hundred fifty-one thousand, six hundred thirty-eight".