214085455920 has 400 divisors, whose sum is σ = 860543016960. Its totient is φ = 48313594368.

The previous prime is 214085455897. The next prime is 214085455937. The reversal of 214085455920 is 29554580412.

214085455920 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 8 + 54 + 5 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 3553569 + ... + 3613311.

Almost surely, 2^214085455920 is an apocalyptic number.

214085455920 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 214085455920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430271508480).

214085455920 is an abundant number, since it is smaller than the sum of its proper divisors (646457561040).

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

214085455920 is a wasteful number, since it uses less digits than its factorization.

214085455920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59854 (or 59839 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 214085455920 in words is "two hundred fourteen billion, eighty-five million, four hundred fifty-five thousand, nine hundred twenty".