214537514820 has 96 divisors (see below), whose sum is σ = 609840537600. Its totient is φ = 56340434304.

The previous prime is 214537514791. The next prime is 214537514839. The reversal of 214537514820 is 28415735412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24433191 + ... + 24441969.

It is an arithmetic number, because the mean of its divisors is an integer number (6352505600).

Almost surely, 2^214537514820 is an apocalyptic number.

214537514820 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 214537514820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304920268800).

214537514820 is an abundant number, since it is smaller than the sum of its proper divisors (395303022780).

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

214537514820 is a wasteful number, since it uses less digits than its factorization.

214537514820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14937 (or 14935 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 214537514820 in words is "two hundred fourteen billion, five hundred thirty-seven million, five hundred fourteen thousand, eight hundred twenty".