18853257414000 has 1920 divisors, whose sum is σ = 71695685468160. Its totient is φ = 4234014720000.

The previous prime is 18853257413999. The next prime is 18853257414011. The reversal of 18853257414000 is 41475235881.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 98708153905 + ... + 98708154095.

It is an arithmetic number, because the mean of its divisors is an integer number (37341502848).

Almost surely, 2^{18853257414000} is an apocalyptic number.

18853257414000 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 18853257414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35847842734080).

18853257414000 is an abundant number, since it is smaller than the sum of its proper divisors (52842428054160).

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

18853257414000 is a wasteful number, since it uses less digits than its factorization.

18853257414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 18853257414000 in words is "eighteen trillion, eight hundred fifty-three billion, two hundred fifty-seven million, four hundred fourteen thousand".