18629309952 has 240 divisors, whose sum is σ = 58853500992. Its totient is φ = 5625999360.

The previous prime is 18629309929. The next prime is 18629309957. The reversal of 18629309952 is 25990392681.

It is a happy number.

18629309952 is a `hidden beast` number, since 1 + 8 + 629 + 3 + 0 + 9 + 9 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18629309957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23670903 + ... + 23671689.

Almost surely, 2^18629309952 is an apocalyptic number.

18629309952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18629309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29426750496).

18629309952 is an abundant number, since it is smaller than the sum of its proper divisors (40224191040).

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

18629309952 is a wasteful number, since it uses less digits than its factorization.

18629309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 18629309952 in words is "eighteen billion, six hundred twenty-nine million, three hundred nine thousand, nine hundred fifty-two".