18329308013952 has 512 divisors, whose sum is σ = 61820166038400. Its totient is φ = 5296418979840.

The previous prime is 18329308013903. The next prime is 18329308014041. The reversal of 18329308013952 is 25931080392381.

18329308013952 is a `hidden beast` number, since 1 + 8 + 329 + 308 + 0 + 1 + 3 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352074708 + ... + 352126764.

Almost surely, 2^{18329308013952} is an apocalyptic number.

18329308013952 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 18329308013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30910083019200).

18329308013952 is an abundant number, since it is smaller than the sum of its proper divisors (43490858024448).

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

18329308013952 is a wasteful number, since it uses less digits than its factorization.

18329308013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52571 (or 52553 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 18329308013952 in words is "eighteen trillion, three hundred twenty-nine billion, three hundred eight million, thirteen thousand, nine hundred fifty-two".