18303106490496 has 384 divisors, whose sum is σ = 55219604544000. Its totient is φ = 5811886080000.

The previous prime is 18303106490477. The next prime is 18303106490519. The reversal of 18303106490496 is 69409460130381.

18303106490496 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 3 + 1 + 0 + 64 + 90 + 496 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6099000996 + ... + 6099003996.

It is an arithmetic number, because the mean of its divisors is an integer number (143801053500).

Almost surely, 2^{18303106490496} is an apocalyptic number.

18303106490496 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 18303106490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27609802272000).

18303106490496 is an abundant number, since it is smaller than the sum of its proper divisors (36916498053504).

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

18303106490496 is a wasteful number, since it uses less digits than its factorization.

18303106490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 18303106490496 in words is "eighteen trillion, three hundred three billion, one hundred six million, four hundred ninety thousand, four hundred ninety-six".