18814353131520 has 384 divisors, whose sum is σ = 67094498016000. Its totient is φ = 5001005629440.

The previous prime is 18814353131479. The next prime is 18814353131543. The reversal of 18814353131520 is 2513135341881.

18814353131520 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 43 + 53 + 1 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85875876 + ... + 86094684.

It is an arithmetic number, because the mean of its divisors is an integer number (174725255250).

Almost surely, 2^{18814353131520} is an apocalyptic number.

18814353131520 is a gapful number since it is divisible by the number (10) 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 18814353131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33547249008000).

18814353131520 is an abundant number, since it is smaller than the sum of its proper divisors (48280144884480).

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

18814353131520 is a wasteful number, since it uses less digits than its factorization.

18814353131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219156 (or 219130 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 18814353131520 in words is "eighteen trillion, eight hundred fourteen billion, three hundred fifty-three million, one hundred thirty-one thousand, five hundred twenty".