214541964 has 144 divisors (see below), whose sum is σ = 683434752. Its totient is φ = 55230336.

The previous prime is 214541927. The next prime is 214541983. The reversal of 214541964 is 469145412.

214541964 is a `hidden beast` number, since 21 + 4 + 541 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 140107 + ... + 141629.

Almost surely, 2^214541964 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 214541964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341717376).

214541964 is an abundant number, since it is smaller than the sum of its proper divisors (468892788).

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

214541964 is a wasteful number, since it uses less digits than its factorization.

214541964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1591 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 214541964 is about 14647.2510731536. The cubic root of 214541964 is about 598.6469175737.

The spelling of 214541964 in words is "two hundred fourteen million, five hundred forty-one thousand, nine hundred sixty-four".