18890248785408 has 4800 divisors, whose sum is σ = 84549215646720. Its totient is φ = 4057753190400.

The previous prime is 18890248785361. The next prime is 18890248785449. The reversal of 18890248785408 is 80458784209881.

18890248785408 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 0 + 2 + 4 + 8 + 78 + 540 + 8 = 666.

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

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 266059842013 + ... + 266059842083.

Almost surely, 2^{18890248785408} is an apocalyptic number.

18890248785408 is a gapful number since it is divisible by the number (18) 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 18890248785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42274607823360).

18890248785408 is an abundant number, since it is smaller than the sum of its proper divisors (65658966861312).

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

18890248785408 is a wasteful number, since it uses less digits than its factorization.

18890248785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 72.

The spelling of 18890248785408 in words is "eighteen trillion, eight hundred ninety billion, two hundred forty-eight million, seven hundred eighty-five thousand, four hundred eight".