18387413856 has 288 divisors, whose sum is σ = 65672208000. Its totient is φ = 4976826624.

The previous prime is 18387413839. The next prime is 18387413899. The reversal of 18387413856 is 65831478381.

It is a happy number.

18387413856 is a `hidden beast` number, since 183 + 87 + 4 + 1 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 792955 + ... + 815813.

It is an arithmetic number, because the mean of its divisors is an integer number (228028500).

Almost surely, 2^18387413856 is an apocalyptic number.

18387413856 is a gapful number since it is divisible by the number (16) 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 18387413856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32836104000).

18387413856 is an abundant number, since it is smaller than the sum of its proper divisors (47284794144).

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

18387413856 is a wasteful number, since it uses less digits than its factorization.

18387413856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22911 (or 22890 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 18387413856 in words is "eighteen billion, three hundred eighty-seven million, four hundred thirteen thousand, eight hundred fifty-six".