214499511072 has 720 divisors, whose sum is σ = 812125391616. Its totient is φ = 54332467200.

The previous prime is 214499511067. The next prime is 214499511173. The reversal of 214499511072 is 270115994412.

214499511072 is a `hidden beast` number, since 2 + 1 + 4 + 499 + 51 + 107 + 2 = 666.

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 119 ways as a sum of consecutive naturals, for example, 90011193 + ... + 90013575.

Almost surely, 2^214499511072 is an apocalyptic number.

214499511072 is a gapful number since it is divisible by the number (22) 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 214499511072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406062695808).

214499511072 is an abundant number, since it is smaller than the sum of its proper divisors (597625880544).

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

214499511072 is a wasteful number, since it uses less digits than its factorization.

214499511072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 214499511072 in words is "two hundred fourteen billion, four hundred ninety-nine million, five hundred eleven thousand, seventy-two".