214930165632 has 768 divisors, whose sum is σ = 735410534400. Its totient is φ = 54425419776.

The previous prime is 214930165627. The next prime is 214930165633. The reversal of 214930165632 is 236561039412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214930165633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1902036808 + ... + 1902036920.

It is an arithmetic number, because the mean of its divisors is an integer number (957565800).

Almost surely, 2^214930165632 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 214930165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367705267200).

214930165632 is an abundant number, since it is smaller than the sum of its proper divisors (520480368768).

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

214930165632 is a wasteful number, since it uses less digits than its factorization.

214930165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 214930165632 in words is "two hundred fourteen billion, nine hundred thirty million, one hundred sixty-five thousand, six hundred thirty-two".