214048282752 has 160 divisors (see below), whose sum is σ = 674475613020. Its totient is φ = 67152347136.

The previous prime is 214048282699. The next prime is 214048282781. The reversal of 214048282752 is 257282840412.

214048282752 is a `hidden beast` number, since 2 + 1 + 40 + 482 + 82 + 7 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 190815206976 + 23233075776 = 436824^2 + 152424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214048282698 and 214048282707.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 430953 + ... + 783464.

Almost surely, 2^214048282752 is an apocalyptic number.

It is an amenable number.

214048282752 is an abundant number, since it is smaller than the sum of its proper divisors (460427330268).

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

214048282752 is a wasteful number, since it uses less digits than its factorization.

214048282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214460 (or 1214439 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 214048282752 in words is "two hundred fourteen billion, forty-eight million, two hundred eighty-two thousand, seven hundred fifty-two".