214307937984 has 448 divisors, whose sum is σ = 693276134400. Its totient is φ = 57122537472.

The previous prime is 214307937911. The next prime is 214307938007. The reversal of 214307937984 is 489739703412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×214307937984³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249484947 + ... + 249485805.

Almost surely, 2^214307937984 is an apocalyptic number.

214307937984 is a gapful number since it is divisible by the number (24) 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 214307937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346638067200).

214307937984 is an abundant number, since it is smaller than the sum of its proper divisors (478968196416).

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

214307937984 is a wasteful number, since it uses less digits than its factorization.

214307937984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 214307937984 in words is "two hundred fourteen billion, three hundred seven million, nine hundred thirty-seven thousand, nine hundred eighty-four".