214465744896 has 312 divisors, whose sum is σ = 650119014720. Its totient is φ = 62499520512.

The previous prime is 214465744879. The next prime is 214465744937. The reversal of 214465744896 is 698447564412.

It is a tau number, because it is divible by the number of its divisors (312).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57665725 + ... + 57669443.

Almost surely, 2^214465744896 is an apocalyptic number.

214465744896 is a gapful number since it is divisible by the number (26) 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 214465744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325059507360).

214465744896 is an abundant number, since it is smaller than the sum of its proper divisors (435653269824).

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

214465744896 is a wasteful number, since it uses less digits than its factorization.

214465744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3756 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 214465744896 in words is "two hundred fourteen billion, four hundred sixty-five million, seven hundred forty-four thousand, eight hundred ninety-six".