18313995386880 has 768 divisors, whose sum is σ = 66033737078400. Its totient is φ = 4875992432640.

The previous prime is 18313995386873. The next prime is 18313995386887. The reversal of 18313995386880 is 8868359931381.

18313995386880 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 3 + 9 + 9 + 538 + 6 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (18313995386873) and next prime (18313995386887).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×18313995386880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18313995386799 and 18313995386808.

It is not an unprimeable number, because it can be changed into a prime (18313995386887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29023764165 + ... + 29023764795.

Almost surely, 2^{18313995386880} is an apocalyptic number.

18313995386880 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 18313995386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33016868539200).

18313995386880 is an abundant number, since it is smaller than the sum of its proper divisors (47719741691520).

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

18313995386880 is an frugal number, since it uses more digits than its factorization.

18313995386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 18313995386880 in words is "eighteen trillion, three hundred thirteen billion, nine hundred ninety-five million, three hundred eighty-six thousand, eight hundred eighty".