214364140032 has 480 divisors, whose sum is σ = 707345084160. Its totient is φ = 57321062400.

The previous prime is 214364140009. The next prime is 214364140057. The reversal of 214364140032 is 230041463412.

It is a super-2 number, since 2×214364140032² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305797282 + ... + 305797982.

It is an arithmetic number, because the mean of its divisors is an integer number (1473635592).

Almost surely, 2^214364140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214364140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353672542080).

214364140032 is an abundant number, since it is smaller than the sum of its proper divisors (492980944128).

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

214364140032 is a wasteful number, since it uses less digits than its factorization.

214364140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 214364140032 in words is "two hundred fourteen billion, three hundred sixty-four million, one hundred forty thousand, thirty-two".