18849257280000 has 4200 divisors, whose sum is σ = 87805205974332. Its totient is φ = 4013162496000.

The previous prime is 18849257279981. The next prime is 18849257280011. The reversal of 18849257280000 is 8275294881.

18849257280000 is a `hidden beast` number, since 1 + 8 + 8 + 492 + 5 + 72 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 487963719936 + 18361293560064 = 698544^2 + 4285008^2 .

It is a tau number, because it is divible by the number of its divisors (4200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 194322239952 + ... + 194322240048.

Almost surely, 2^{18849257280000} is an apocalyptic number.

18849257280000 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 18849257280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43902602987166).

18849257280000 is an abundant number, since it is smaller than the sum of its proper divisors (68955948694332).

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

18849257280000 is an frugal number, since it uses more digits than its factorization.

18849257280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18849257280000 in words is "eighteen trillion, eight hundred forty-nine billion, two hundred fifty-seven million, two hundred eighty thousand".