214933779072 has 512 divisors, whose sum is σ = 684656640000. Its totient is φ = 66244055040.

The previous prime is 214933779061. The next prime is 214933779079. The reversal of 214933779072 is 270977339412.

214933779072 is a `hidden beast` number, since 214 + 9 + 337 + 7 + 90 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (214933779079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233877429 + ... + 233878347.

It is an arithmetic number, because the mean of its divisors is an integer number (1337220000).

Almost surely, 2^214933779072 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 214933779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342328320000).

214933779072 is an abundant number, since it is smaller than the sum of its proper divisors (469722860928).

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

214933779072 is a wasteful number, since it uses less digits than its factorization.

214933779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 214933779072 in words is "two hundred fourteen billion, nine hundred thirty-three million, seven hundred seventy-nine thousand, seventy-two".