214534379520 has 192 divisors, whose sum is σ = 762603660000. Its totient is φ = 57209094144.

The previous prime is 214534379519. The next prime is 214534379581. The reversal of 214534379520 is 25973435412.

It is a happy number.

214534379520 is a `hidden beast` number, since 2 + 1 + 4 + 53 + 4 + 3 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111495 + ... + 664454.

Almost surely, 2^214534379520 is an apocalyptic number.

214534379520 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 214534379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381301830000).

214534379520 is an abundant number, since it is smaller than the sum of its proper divisors (548069280480).

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

214534379520 is an equidigital number, since it uses as much as digits as its factorization.

214534379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775985 (or 775959 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 214534379520 in words is "two hundred fourteen billion, five hundred thirty-four million, three hundred seventy-nine thousand, five hundred twenty".