214486272000 has 3072 divisors, whose sum is σ = 1098974822400. Its totient is φ = 39813120000.

The previous prime is 214486271977. The next prime is 214486272019. The reversal of 214486272000 is 272684412.

214486272000 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 8 + 627 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6918911985 + ... + 6918912015.

It is an arithmetic number, because the mean of its divisors is an integer number (357739200).

Almost surely, 2^214486272000 is an apocalyptic number.

214486272000 is a gapful number since it is divisible by the number (20) 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 214486272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549487411200).

214486272000 is an abundant number, since it is smaller than the sum of its proper divisors (884488550400).

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

214486272000 is a wasteful number, since it uses less digits than its factorization.

214486272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 214486272000 in words is "two hundred fourteen billion, four hundred eighty-six million, two hundred seventy-two thousand".