18858099456 has 576 divisors, whose sum is σ = 68450780160. Its totient is φ = 4998758400.

The previous prime is 18858099451. The next prime is 18858099499. The reversal of 18858099456 is 65499085881.

18858099456 is a `hidden beast` number, since 1 + 8 + 8 + 580 + 9 + 9 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 18858099393 and 18858099402.

It is not an unprimeable number, because it can be changed into a prime (18858099451) 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 63 ways as a sum of consecutive naturals, for example, 83075215 + ... + 83075441.

It is an arithmetic number, because the mean of its divisors is an integer number (118838160).

Almost surely, 2^18858099456 is an apocalyptic number.

18858099456 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 18858099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34225390080).

18858099456 is an abundant number, since it is smaller than the sum of its proper divisors (49592680704).

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

18858099456 is a wasteful number, since it uses less digits than its factorization.

18858099456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 18858099456 in words is "eighteen billion, eight hundred fifty-eight million, ninety-nine thousand, four hundred fifty-six".